Find the slope of the line given the following points on the line:

(-6, 4) and 2, 7)

Find The Slope Of The Line Given The Following Points On The Line:(-6, 4) And 2, 7)

Answers

Answer 1

Answer:

3/8

Step-by-step explanation:

Answer 2

Answer:

[tex]\boxed{\sf Slope:3/8}[/tex]

Step-by-step explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]

[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]

[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]

_______________

[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]

[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]

_________________________________________


Related Questions

What is the value of this expression when c = 3 and d = 7? 15+c2⋅d−c3

Answers

Answer:

The answer to the equation is 48.

Answer:

The value of this expression is 48

Step-by-step explanation:

15 + c2 * d - c3

c = 3

d = 7

Substitute the value of c and d

15 + (3)2 * 7 - (3)3

Multiply the parenthesis first

15 + 6 * 7 - 9

Now multiply 6 and 7

15 + 42 - 9

Now add 15 and 42

57 - 9

Now subtract

= 48

What is the y-intercept of the following table?
Gasoline Usage
Miles Driven,
Х
Gallons of
Gasoline in
Tank, y
0
15
10
14.6
20
14.2
35
13.6
60
12.6
75
12
Your answer

Answers

Answer:

15

Step-by-step explanation:

it's where you start. where your going to start you slope on the graph which means that the x would be 0

What's the answer plz help!!!

A line contains the points (-3, -9) and (4, 5). What is the point-slope form of the line?

y + 9 = -2(x + 3)


y - 5 = 3( x - 2)


y - 9 = 2(x + 3)


y + 9 = 2(x + 3)

Answers

Answer:

y+9 = 2(x+3)

Step-by-step explanation:

Find the perimeter. Simplify your answer.

Answers

Answer:

8v + 4

Step-by-step explanation:

Perimeter = 3v + 2 + 3v + 2 + 2v + 8v + 4

= 8v + 4...ans

Hope it Helps you!!

Which of these groups of values plugged into the TVM Solver of a graphing
calculator will return the same value for PV as the expression
($415)((1 +0.003)24 – 1)?
(0.003)(1 +0.003)24

Answers

The TVM solver is a tool found in graphing calculators, that solve Time

Value of Money problems.

The group of values that will return the same value as the given expression is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Reasons:

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t} }{\left(1+\dfrac{r}{n} \right)^{n \times t} - 1}}[/tex]

Which gives;

[tex]P = \mathbf{\displaystyle \frac{M\cdot \left(\left(1+\dfrac{r}{n} \right)^{n \times t} - 1 \right) }{\left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \times t}}}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

[tex]\displaystyle 0.003 = \frac{I}{12}[/tex]

I = 0.003 × 12 = 0.036 = 3.6%

N = n × t = 24

[tex]P = \displaystyle \frac{(415)\cdot \left(\left(1+\dfrac{I}{12} \right)^{24} - 1 \right) }{\left(\dfrac{I}{12} \right) \cdot \left(1+\dfrac{I}{12} \right)^{24}} = \mathbf{\displaystyle \frac{(415)\cdot \left(\left(1+0.003\right)^{24} - 1 \right) }{\left(0.003\right) \cdot \left(1+0.003 \right)^{24}}} = ?[/tex]

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression[tex]\displaystyle \frac{(\$415)\cdot (1 + 0.003)^{24} - 1}{(0.003) \cdot (1 + 0.003)^{24}}[/tex], when plugged into the TVM solver of a calculator is; D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

Learn more about Present Value Solver here:

https://brainly.com/question/1759639

https://brainly.com/question/13573265

Choose the numbers that is not a factor of 300.

A. 5
B. 6
C. 8
D.20

And explain!!

Answers

Answer:

C. 8

Step-by-step explanation:

Factors of 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, and 300.

8 is not a factor of 300.

Hope this helps :)

8 is not a factor of 300

y=-3x-8 how is this graphed

Answers

You graph this equation by first graphing the y-intercept, which is -8, according to your equation.

You will plot down, (0,-8) on your graph as your first point. Then since the slope is -3, you will go from that point (0, -8) 3 down and 1 right. So your next point would be (1, -11) and go 3 down and 1 right again for your third point, and keep going if you want more points.

After graphing as many points as you want graph a line though it! It has to be a straight line.

Hope this helps!! :)

If a sea turtle traveled 2.8 miles at
top speed in 2 hours, how far
did it travel in one hour?

Answers

Answer: 1.4 mph

Step-by-step explanation: It traveled 2.8/2 mph or 1.4 mph.

Would appreciate brainly <3

Answer:

It will travel 1.6 mile

Step-by-step explanation:

whats the correct label
Is it Negative slope
Is it 0
Is it Positive slope

Answers

Answer:

1) Positive slope

2) Negative slope

3) 0 slope

Step-by-step explanation:

1) This is a positive slope. As x increases, y increases.

2) This is a negative slope. As x increases, y decreases.

3) This is a 0 slope. As x increases, y stays the same.

Answer:

First one is positive

Second one is negative

Last one is zero

Step-by-step explanation:

The Stock Market Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?

Answers

Answer:

34

Step-by-step explanation:

If RS=3x + 1, ST= 2x - 2, and RT=64 find the value of RS and ST

Answers

Answer:

a. RS= 3x + 1 =64

group like teams

3x =64 - 1

3x=63

divide both sides by 3

Ans: RS= 21

b. ST= 2x - 2 =64

group like teams

2x= 64-2

2x=62

divide both sides by 2

Ans:ST=31

∆ RS= 21 and ST=31

How many times does 65 go into 468?

Answers

Answer:

7 whole times, 7.2 decimal times

Step-by-step explanation:

Divide the numbers

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

The perimeter of the rhombus 60 feet

Find m<2
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so

to find its 3rd angle apply angles sum property on it

according to which

2(68) + x = 180

136 + x = 180

x = 180 - 136

x = 44°

also we know, the other triangle is right angled triangle

so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)

therefore to know measure of angle 2 apply angle sum property of triangle in it too.

so,

90 + 44 + angle 2 = 180

134 + angle 2 = 180

angle 2 = 180 - 134

angle 2 = 46°

therefore, angle 2 is 46°

hope this answer helps you dear!

Find the 75th term of the following arithmetic sequence.
2, 8, 14, 20,
..

Answers

Answer:

The 75th term is 446

Step-by-step explanation:

Using the explict formula you get an=6n-4

you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446

Answer:

446 is the 75th term

Step-by-step explanation:

This sequence increases by 6

2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446

Suppose that you randomly selected 22 adults. If 10% of the population smoke, a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 22 adults?

Answers

Answer: 2 to 3 people who would be smoking

Step-by-step explanation:

22 divided by 10 = 2.2

and since there could be more

or less so it could be 2 or 3

1 2/5m-3/5(2/3m+1) pls help me I need to simply it

Answers

In fraction form: -(3/5)

Decimal form: -0.6

Hope this helps!

100 IF U GET THIS RIGHT!

Answers

Answer:

Feeling like an addict that ain't had it, up and at it in a minute

If it hadn't been invented, my limit wouldn't be infinite

I'm feeling like an infant in a womb

I'ma be here 'til the tomb

Lately I've been in my room

Lookin' and lookin' at records on the wall

Hold up

Answer:

Slope:  

7

y-intercept:  

(0,2/5)

Step-by-step explanation:

1, 1, 2, 3, 5, 8 are the first six numbers of the fibonacci sequence. what is the eighth number? 18

Answers

The eight number is 21

Maggie needs $180 to pay for a cheer camp. She has $30 already and saves $30 a week that she earns by helping her neighbors.

Use the Segment tool to plot a graph representing the amount of money Maggie has saved from the time she begins saving until she has saved enough for cheer camp.

Answers

We want to graph the linear function that models how much Maggie saves, the graph can be seen below.

So we know that maggie starts with $30, and she saves another $30 per week, then after x weeks, the total amount that she has saved is:

S(x) = $30 + $30*x

Now we have the function, to graph it, we just need to get two points of the function and then connect them with a line, to get these points, we just evaluate the function in two different values of x:

S(0) = $30 + $30*0 = $30

S(1) = $30 + $30*1 = $60

So we have the points (0, $30), (1, $60).

Now we just need to graph these points and connect them with a line, the graph can be seen below.

If you want to learn more, you can read:

https://brainly.com/question/20853486

Answer:

(0,30) and (1,70)

Step-by-step explanation:

I took the quiz in USATestprep.

Help me on this I can’t fail

Answers

Answer:

c = green line

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

How many 6 are in two

thirds

Answers

it’s 4 6ths.

goodluck

A man standing near a radio station antenna observes that the angle of elevation to the top of the antenna is 64 He then walks 68 feet further away and observes that the angle of elevation to the top of the antenna is 43 Find the height of the antenna to the nearest foot.

Answers

The height of the radio station antenna is approximately 116 feet to the nearest foot.

From the diagram in the attached image

[tex]h=\text{the height of the radio station antenna}\\x=\text{the distance from the foot of the radio station antenna to where the man stood at first}[/tex]

we now have the following relationships

[tex]tan64^\circ=\frac{h}{x}\\\\\implies x=\frac{h}{tan64^\circ}[/tex]

and

[tex]tan43^\circ=\frac{h}{68+x}\\\\\implies x=\frac{h}{tan43^\circ}-68[/tex]

we can equate the two relationships to eliminate [tex]x[/tex].

[tex]\frac{h}{tan64^\circ}=\frac{h}{tan43^\circ}-68[/tex]

solving for the height of the radio station antenna, [tex]h[/tex], we get

[tex]h=\frac{68\times tan43^\circ \times tan64^\circ}{tan64^\circ -tan43^\circ}\approx 116ft\text{ (to the nearest foot)}[/tex]

Learn more about angle of elevation here: https://brainly.com/question/12483071

The diagram shows a triangle ABC.
B
Not drawn accurately
12.5 cm
A
4.6 cm
Work out the area of the triangle.
Give your answer to 1 decimal place.


please help and show working

Answers

Answer:

A ≈ 5.8 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 4.6 and h = 2.5 , then

A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )

Answer:

Step-by-step explanation:

what is 3x3-7=8x9 ??

Answers

Answer:

Below.

Step-by-step explanation:

3 x 3 - 7 = 8 x 9

=> 9 - 7 = 72

=> 2 ≠ 72

The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.

Answer this please I really need help with this i can't do it

Answers

Answer:

A 6 km per hour

B 10 min.

Step-by-step explanation:

I just need to fill the 20 character limit

HELP PLEASE FAST!!!!

Answers

Answer:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

This is not a function

Step-by-step explanation:

Domain = (-5,1,3)

Range = ( -4,-2,0,2,4)

Since one x value gives two points for y

this is not a function

-----------------------------------------------------------
Standard form / Slope intercept form

_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------


Answers

Answer:

1.) y=3x-7

2.) 2=5x-y

3.) y=-4-2x

4.) 1=3/4x+y

5.) y=4x+8

6.) 9=3/4x+8

7.) 9=y+x

8.) y=-2/6x+2

9.) 5=-2/3x+y

Step-by-step explanation:

Standard form is Ax=By=C and Slope form is y-mx+b

for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:

3x-y=7

+7 -7

3x-7=y

then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8

PLEASE HELP!!! URGENT!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

For a relation to be a function then every value of x must map to exactly one unique value of y.

Here every x- value corresponds to exactly one y- value

Then the ordered pairs represent a function

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