(4, -3); slope = -1 ​

Answers

Answer 1

Answer:

y + 3 = - x + 4 or y = - x + 1

Step-by-step explanation:

Assume you are looking for an equation of the line passing through (4, -3) and having a slope - 1.

Use point-slope form:

y - y₁ = m(x - x₁)y - (-3) = - 1(x - 4)y + 3 = - x + 4

or

y = - x + 1
Answer 2

Equation in point slope form

y-y1=m(x-x1)y+3=-1(x-4)y+3=4-xy=-x+1


Related Questions

1) If v2x - 4 = 13x – 8, what is the value of x?
A) 1.
B) 2
4
D) 8

Answers

Step-by-step explanation:

is it really v2x?? or smthg else

A sector of a circle is shown below. Construct a line that represents all points equidistant from MN and MP. Would a reflection across this line map the figure onto itself? Why or why not?

Answers

A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.

The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.

The steps required to construct the line are:

Using N as the center and any radius, describe an arc beyond arc NPPlace the compass at P as the center and the same radius, describe another arc to intersect the previous arc.Draw a line through the point of intersection to M. This is the required angle bisector.

ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.

The construction to this question is attached to this answer for more clarifications.

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Solve for x.

Solve for x.

Solve for x.

Solve for x.

Answers

Answer:

[tex]x=90[/tex]

Step-by-step explanation:

2x - 10 and x + 80 are parallel lines and equal each other.

[tex]2x-10=x+80\\x-10=80\\x=90[/tex]

Answer:

90

Step-by-step explanation:

i had this question too

What is the solution to the equation 3/4y+1/4=1+y , given the replacement set {−4, −3, −2} ?

−4
−3
−2

Answers

Answer:

-3

Step-by-step explanation:

Solution of the equation is y = -3.

What is the solution of the equation?

A solution to an equation is a value of a variable that makes a true statement when substituted into the equation. The process of finding the solution to an equation is called solving the equation.

Given expression (3/4)y+1/4= 1+y.

simplify each term,

(3/4)y + 1/4 = 1+y

Move all terms not containing y to the right side of the equation,

(3/4)y - y = 1-1/4

(-1/4)y = 3/4

Since  both side of the expression has the same denominator, the numerators must be equal.

y = -3

Solution of the equation is y = -3.

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Solve. −425=x−114 What is the solution to the equation? Enter your answer as a simplified mixed number in the box. FIRST PERSON TO ANSWER GETS 100 POINTS

Answers

Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

spilled $40 into the ratio of 3:7

Answers

Answer:

$12/$28

Step-by-step explanation:

Let x and y represent the two amounts of money adding up to $40.

Assume that x is the smaller amount.  Then:

 x        3

----- = -----    Remembering that x + y = $40, we get x = $40 - y

 y        7

amd sp we have

 $40 - y          3

-------------- = ------   which, after cross-multiplication, is $280 - $7y = 3y

       y             7

Simplifying this, we get $280 = 10 y, so that y must be $28.  If y = $28, x must be $40 - $28, or $12.

                                                                             $12

Then $40, split in the ratio 3/7, is the ratio ----------------

                                                                            $28

Check:  Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.

a diver dives from a 10m springboard. the equation f(t)=-4.9t^(2)+4t+10 models her height above the pool in seconds. what is her height at 1.5 second after diving off the springboard

Answers

Answer:

4.975 meters

Step-by-step explanation:

[tex]f(1.5)= -4.9(1.5)^2+4(1.5) + 10\\\\f(1.5) = -4.9(2.25) + 6 + 10\\\\f(1.5) = -11.025 + 6 + 10\\\\f(1.5) = -11.025 + 16 \\\\f(1.5) = 4.975[/tex]

4.975 meters

-Chetan K

PLS HELP FOR BRAINLIST :D

Answers

Answer:

The third answer is the correct one.

Carrie, Maria, and Nayla are friends that live close to one another. Which two friends have the shortest distance between them?

a-Carrie and Maria

b-Maria and Nayla

c-Carrie and Nayla

d-All three live equal distances from each other.

Answers

The two friends have the shortest distance between them are Carrie and Nayla.

In order to determine the distance of the friends from each other, the value of the angles have to be determined. The given figure is a triangle. Sum of angles in the triangle equal 180 degrees.

The first step is to determine the value of x:

20x + 7) + (5x + 50) + (5x + 3) = 180

Add similar terms togethers

30x + 60 = 180

Combine similar terms

30x = 180 - 60

30x = 120

x = 120 / 30

x = 4

The second step is to determine the value of each angle

Nayla = 20(4) + 7 = 87

Carrie = Second angle = 5(4) + 50 = 70

Maria = Third angle = 180 - (70 + 87) = 23

Nayla and Carrie live closest to each other

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Nadia is a stockbroker. She earns 11​% commission each week. Last​ week, she sold ​$5300 worth of stocks. How much did she make last week in​ commission? If averages that same amount each​ week, how much did she make in commission in​ 2011?
pls answer fast, 25 points to earn

Answers

Answer:

a. $ 583

b. $ 30,316

Step-by-step explanation:

a). 0.11 * 5,300= $ 583 per week( commission )

b). In 2011, 52 weeks.

52* 583 =$ 30,316

A pet store had thirty-one siamese cats and forty-nine house cats. During a sale they sold
sixty-one cats. How many cats do they have left?

Answers

Answer:

19

Step-by-step explanation:

31 + 49 = 80

80 - 61 = 19


You and 2 friends have a job cleaning houses. You split the total money you make so
that you each get the same amount. On the first day, you earn $93. The second day,
you earn $75. The third day, you earn $108. How much money do you each get for :
days of work?

Answers

Answer:

92 dollars each luv:)

Step-by-step explanation:

Which equation gives the line shown on the graph?

Answers

Answer:

[tex]y=\frac{1}{2} x+4[/tex]

Step-by-step explanation:

so the last option

hope this helps!

help asap for brainlist
Given g(x)=−6x+3, find g(−4). To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

g(-4) = 24 + 3 = 27

Step-by-step explanation:

We find the value of g(-4) by substituting -4 for x in g(x)= −6x + 3:

g(-4) = -6(-4) + 3, or

g(-4) = 24 + 3 = 27

Answer:

27

Step-by-step explanation:

substitute -4 for x

-6(-4) + 3

24 + 3

27

hope it helps :)

mark brainliest!!

Given that the line is x/3 + y/2 =1
i ) make y the subject
ii ) gradient of line

Answers

Answer:

see explanation

Step-by-step explanation:

(i)

[tex]\frac{x}{3}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - [tex]\frac{2}{3}[/tex] x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - [tex]\frac{2}{3}[/tex] x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - [tex]\frac{2}{3}[/tex]

what does cpctc stand for and when would you use it

Answers

Answer:  Corresponding Parts of Congruent Triangles are Congruent

Step-by-step explanation: So you use it when two triangles are congruent to each other (which means the same) so like ASA angle side angle will tell you if the triangle is congruent to each others.

ANSWER CORRECT FOR BRAINLIEST

Answers

Answer:

3 2 /5 ×3

change 3 2 /5 into an improper fraction

then you will get 17 /5

after that you say 17/5 ×3/1

=(17×3)/ (5x1)

=51/5 (51÷5)

=10.2/ 10 1/5

Solution:

[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]

Answer:

[tex]10 \frac{1}{5} [/tex]

Hope it helps.

Do comment if you have any query.

ABC is a straight line.




The length AB is five times the length BC .

AC =90 cm.


Work out the length AB .


(3 marks)

Answers

Answer:

75 cm

Step-by-step explanation:

According to segment addition postulate we have:

AC = AB + BC

We are given:

AB = 5 BC

Then substitute values into the first equation:

AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cm

Find the length of AB:

AB = 5*15 cm = 75 cm

segment DE is a midsegment of triangle ABC. find the value of x

Answers

Answer:

x = 10

Step-by-step explanation:

The value x is 10 units.

What is midsegment?

A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments.

Given that, segment DE is a midsegment of triangle ABC.

According to the midpoint theorem, “The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore, DE = 1/2 AB

5 = 1/2x

x = 5×2

x = 10

Hence, the value of x is 10 units.

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A group of friends were working on a student film that had a budget of $1200. They use 63% of their budget on equipment. How much money did they spend on equipment?

Answers

Answer:

$756

Step-by-step explanation:

To find the percentage of a number just move the percentage amount decimal over two spaces and multiply like so

63%=.63

.63 x 1200

They used $756 on equipment

Find the perimeter. Simplify your answer.

Answers

Answer:

32a-18

Step-by-step explanation:

add together the side lengths:

10a-1+6a-8+10a-1+6a-8=(10+6+10+6)a+(-1-8-1-8)= 32a-18

Answer:

32a-18

Step-by-step explanation:

you just sum it all together

Which system of equations could be graphed to solve the equation below? log Subscript 0.5 Baseline x = log Subscript 3 Baseline 2 x

Answers

Answer:

Step-by-step explanation:

y 1 = StartFraction log x Over log 0.5 EndFraction, y 2 = StartFraction log 2 Over log 3 EndFraction + x

Х
у
10
-4
2
1
6
-5 help pls

Answers

Step-by-step explanation: 10 / х - 4 = 2 ; 6 - 5у = - 4, 5 ; 2у + 1 / 3 = 5 ; 6, 2 / 3у + 1 = 2.

Can somebody please help me?!! I will give BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

Mark the two points (-1,7) and (1,-1) on the graph.  Then draw a straight line between them.  To determine the equation that goes through these two points, we can use the two given points to find the slope of the line.  The standard form of a straight line equation is

y = mx + b,

where m is the slope and y is the y-intercept (the value of y when x = 0).

Slope is also known as the "Rise"/"Run" - the change in y divided by the change in x.  We can use the two points to calculate this:

       Rise (-1-(7) = -8   Run = (1 - (-1) = 2

The slope is therefore (-8/2) or -4.  

y = -4x + b

We can find b by entering either of the two points in y = -4x + b and solve for b.  I'll use (1,-1) since I have my 1's multiplication table memorized

y = -4x + b

-1 = -4(1) + b

b = 3

The straight line equation that connects the two points is

  y = -4x + 3

You can graph this equation (e.g., on DESMOS) to see how it intersects the points.  [Attached]

The coordinates of the y intercept are (0,3).

The coordinate of the y-intercept of the line is (0, 3)

Equation of a line

The equation of a line in slope-intercept form is expressed as y = mx + b.

where:

m is the slope the lineb is the y-intercept

Given the coordinate points (-1, 7) and (1, -1).

Get the slope

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{-1-7}{1-(-1)}\\ m=\frac{-8}{1+1}\\ m=\frac{-8}{2}\\ m=-4[/tex]

Get the y-intercept:

Recall that y = mx + b

Using the coordinate point (1, -1) and m = -4

-1 = -4(1) + b

-1 = -4 + b

b = -1 + 4

b = 3

The equation of the line is y = -4x + 3

Get the y-intercept:

The y-intercept occurs at the point where x = 0

y = -4(0) + 3

y = 0 + 3

y = 3

Hence the coordinate of the y-intercept of the line is (0, 3)

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Mrs. Wong has placed together 60% of the pieces of a jigsaw puzzle She has placed 570 pieces of the puzzle together How many pieces are there in the whole puzzle? Explain whether or not it is possible to determine how many pleces there are in the whole puzzle using the given information. If so, show the calculations to find the total pieces in the puzzle If not explain why not Type the answer in the response area below

Pls help ASAP ​

Answers

570/x = 60/100. 60% of the total amount of jigsaw puzzles is 570, we could use that information to form the equation above, where x is the total amount of pieces. The total amount of jigsaw puzzles is 950.

Given:
A
B


A
C

AB

AC
and
B
E


C
E

.
BE

CE
.

Prove:

B
D
E


C
D
E
∠BDE≅∠CDE.

Answers

Answer:

∠ABC ≅ ∠DBE 

Step-by-step explanation:

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The triangle ΔABE is congruent to the triangle ΔACE. Then we have

AB = AC

∠BEA = ∠CEA

BE = CE

In triangles ΔDBE and ΔDCE, then we have

AB = AC                          (Given)

∠BEA = ∠CEA                 (Given)

DE = DE                           (Common sides)

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

More about the triangle link is given below.

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Solve for x on number 13

Answers

Answer:

x = -4

Step-by-step explanation:

x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°

x + 63 + x + 125 = 180°

2x  + 188 = 180

2x = -8

x = -4

-Chetan K

Answer:

x=-4

Step-by-step explanation:

(x+125)+(x+63)=180

125+63=188

180-188= -8

-8/2= -4

A=2a-3b solve for b PLEASE WIKK GIVE BRAINLY

Answers

Answer:

[tex]\frac{a}{3} =b[/tex]

Step-by-step explanation:

a = 2a - 3b

→ Minus 2a from both sides

-a = -3b

→ Multiply everything by -1

a = 3b

→ Divide both sides by 3

[tex]\frac{a}{3} =b[/tex]

Answer:

b = 2/3a -1/3A

Step-by-step explanation:

A=2a-3b

Subtract 2a from each side

A-2a=2a-2a-3b

A -2a = -3b

Divide each side by -3

A/-3  -2a/-3 = -3b/-3

-A/3 + 2/3a = b

b = 2/3a -1/3A

please help out for a brainly
show work!!

Answers

Answer:

Step-by-step explanation:

y=−5/2x−11 so slope is -5/2

y-intercept means when x is zero, then what is y? the answer is -11. So the y-intercept is (0 , 11)

mark brainliest plz

Can someone please help me?
75 POINTS

Answers

Answer:

1. 8

2. 4

3. 5

4. 8/125

5. 4/3

6. 6

7. 8

8. 2

Step-by-step explanation:

This is true believe me I checked each one :)

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