A line contains the points (-6, -4) and (0,4). What is the equation of this
line in slope-intercept form?
4
OA) y=3*+
x+4
(
4
OB) y=
3
ОВ)
X-4
OC) y=x-4
OD) y=x+4
Answers
As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2
A) [tex]y=\frac{4}{3}x+4[/tex]
Step-by-step explanation:Write the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
________________________________________________________
Substitute and calculate
[tex]Substitute:[/tex] [tex]x_1=-6\\ x_2=0\\ y_1=-4\\ y_2=4[/tex] [tex]into\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute
[tex]m=\frac{4-(-4)}{-(-6)}[/tex]
Determine the sign
[tex]m=\frac{4+4}{6}[/tex]
Calculate the sum or difference
[tex]m=\frac{8}{6}[/tex]
Cross out the common factor
[tex]m=\frac{4}{3}[/tex]
________________________________________________________
Substitute and calculate
[tex]Substitute[/tex] [tex]m=\frac{4}{3}\\ x=-6\\ y=-4[/tex] [tex]into\ y=mx+b[/tex]
Substitute
[tex]-4=\frac{4}{3}\times(-6)+b[/tex]
Reduce the expression to the lowest term
[tex]-4=-4\times2+b[/tex]
Calculate the product or quotient
[tex]-4=-8+b[/tex]
Rearrange variables to the left side of the equation
[tex]-b=-8+4[/tex]
Calculate the sum or difference
[tex]-b=-4[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]b=4[/tex]
________________________________________________________
Substitute
[tex]Substitute[/tex] [tex]y=\frac{4}{3}x+4\\ m=\frac{4}{3}[/tex] [tex]into\ y=mx+b:[/tex]
[tex]y=\frac{4}{3}x+4[/tex]
________________________________________________________
Rewrite the equation of the line
[tex]Rewrite\ y=\frac{4}{3}x+4\ in\ slope-intercept\ form:[/tex]
[tex]y=\frac{4x}{3}+4[/tex]
I hope this helps you
:)
Related Questions
Makensie bought 5.4 pounds of cashews for $18.62. Approximately how many pounds of cashews can Makensie purchase for $1?
Answers
Answer:
$4.00 per pound
Step-by-step explanation:
A grocery store sells cashew nuts at $8.00 per pound and peanuts at $4.00 per pound. They want to mix 10 pounds of the cashews with peanuts to create a mixture that will sell at $6.50 per pound
what is the answer for 6-7b+7bx3+b?
Answers
Answer:
=7bx3−6b+6
Step-by-step explanation:
6−7b+7bx3+b
=6+−7b+7bx3+b
=6+−7b+7bx3+b
=(7bx3)+(−7b+b)+(6)
=7bx3+−6b+6
Answer:43b
Step-by-step explanation:7+7 x3 +b = 43b
What is the value (3-54(2) - 16
10
Answers
Answer:
I believe the exact value is -265
Giving 5 STARS AND BRAINLIEST IF YOU ANSWER CORRECTLY!!
TTM
On a very cold morning, it was -8°F. As the day went on, the temperature rose 2 degrees each hour. Which equation shows the temperature over time?
Answers
The last one the answer is ( number ) 40 degrees
At a candy store, Jeremiah bought 1 pound of jelly beans for $9. Meanwhile, Emma bought 4
pounds of jelly beans and 6 pounds of gummy worms for $60. How much does the candy
cost?
Plz help ASAP
Answers
Answer:
I think the candy cost 51 dollars
Jellybeans: 36$
Gummy worms: 15$
36 + 15 = 51
Step-by-step explanation:
Since jeremiah bought 1 pound for 9 dollar you can minus 9 from the equation which is 51 and since each pound of jelly beans were 9 dollars 9 x 4 = 36 and 51 - 36 is 15 so the cost of the gummy worms are 15 so
either 51 or 36 and 15
Are the following equations perpendicular y-8=1/2(x+5) and y-
8=-1/2(x+5)? *
Answers
Answer:
Step-by-step explanation:
Yes
Write the equation for a parabola whose vertex is (-6,-1) and passes through (-12,17).
Answers
Answer:
[tex]y=\frac{1}{2}(x+6)^2-1[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y=a(x-h)^2+k[/tex]
Where (h, k) is the vertex of the parabola that graphically represents the function, and a is a coefficient different from zero.
The vertex of the required equation is located at (-6,-1)
The parabola passes through (-12,17)
Substituting the coordinates of the vertex, the equation of the function is:
[tex]y=a(x+6)^2-1[/tex]
The value of a will be determined by using the given point:
[tex]17=a(-12+6)^2-1[/tex]
Operating:
[tex]17=a(36)-1[/tex]
[tex]36a=18\Rightarrow a=18/36=1/2[/tex]
Solving:
[tex]a=1/2[/tex]
The equation of the parabola is:
[tex]\boxed{y=\frac{1}{2}(x+6)^2-1}[/tex]
PLEASE HELP!! If f (x) = 4x^-2 + 1/4x^2 + 4, then f’(2) =
Answers
Work Shown:
f(x) = 4x^(-2) + (1/4)x^2 + 4
f ' (x) = 4*(-2)x^(-3) + (1/4)*2x .... power rule
f ' (x) = -8x^(-3) + (1/2)x
f ' (2) = -8(2)^(-3) + (1/2)*(2)
f ' (2) = 0
Finding the derivative, we have that f'(2) = 0, option D.
-----------------------------
The derivative of an exponent is:[tex](x^n)^{\prime} = nx^{n-1}[/tex]
Additionally, the sum of the derivatives is the derivative of the sum. The derivative of a constant is zero.-----------------------------
The function is:
[tex]f(x) = 4x^{-2} + \frac{x^2}{4} + 4[/tex]
The derivatives are:
[tex](4x^{-2})^{\prime} = -2 \times 4x^{-2 -1} = -8x^{-3}[/tex]
[tex](\frac{x^2}{4})^{\prime} = \frac{2x}{4}[/tex]
[tex](4)^{\prime} = 0[/tex]
Thus, the derivative of the function is:
[tex]f^{\prime}(x) = -8x^{-3} + \frac{2x}{4} = -\frac{8}{x^3} + \frac{2x}{4}[/tex]
At x = 2:
[tex]f^{\prime}(2) = -\frac{8}{2^3} + \frac{2(2)}{4} = -1 + 1 = 0[/tex]
Thus f'(2) = 0, option D.
A similar problem is given at https://brainly.com/question/10037173
a statement that switches the hypothesis and conclusion and negates both
Answers
Converse – the statement formed by exchanging the hypothesis and conclusion of a conditional statement. Counterexample – an example used to show that a given statement is not always true.
If there are 62 boys out of 100 grade 7 students, how do you know this is in fractional form? What is the decimal form?
Answers
I know this is in fraction form because it says out of. A fraction will say out of, for example: 3 out of 4. The number 62 boys out of 100 students can be represented as 0.62, 0.62 of 1 (100) whole number.
Hope this helps!
The explanation to this is because 62/100 is like saying .62 with hundreths instead.
Help me solve this problem please
Answers
Answer:
look at picture :)))
Step-by-step explanation:
is this right?
Use the diagram below to answer the question.
6x + 15
10x-5
14 What is the value of ?
Use the diagram below to answer the following questions.
1
32 degrees
2
43 degrees
3
15 What is the measure of 21?
What is the measure of 232
Answers
Answer:
1. x = 5
Remember that all angles add up to 180, and because you know that one of the angles = 90, you can add the other two angles like so.
6x + 15 + 10x - 5 = 90
2.
Angle 1 = 43 degrees
Angle 3 = 32 degrees
help me pls A.S.A.P interpret in English
1. je mange toujours de la slade
2. tu as mange du riz
3. Elle a beaucoup d'enfants
4. IL a bu du the
5. je bois toujours du vin
6. vous etes des etudiants de la Langue francais
Answers
Step-by-step explanation:
1.)i always eat salad
2.)you ate rice
3.)She has a lot of children
4.)He drank tea
5.)i still drink wine
6.)you are students of the French language
(thanks, sorry and hope I helped)
Which measurement statement is correct 10 points
Answers
If b = 5, what is b3?
Answers
Answer:
15
Step-by-step explanation:
I'm assuming that b3 is the variable b times 3. So if you plug in 5 for the b variable you'd get (5)3 which is 5 times 3, or 15.
What property is 7+(a+b)=(7+a)+b
Answers
Answer:
associative property
Step-by-step explanation:
Associative property of addition is when you move the parentheses but the values don't move
Hope this helps you out!!!!
Do you like me
What is formula
Answers
Answer:
what?
Step-by-step explanation:
Answer:
I am cunfushion
Step-by-step explanation:
Eight and seventy-four hundredths in standard decimal form
Answers
Hey there!
Fact: Usually whenever you see the “-th” in word-form in mathematics we know the result will have a decimal in it!
Since you have the “-th” in your problem we know it’ll have a decimal
Now let’s start solving!
8 would be in your ONES place
.
7 would be in your TENTHS place
4 would be in your HUNDREDTHS place
Your answer SHOULD look like this: 8.74 ☑️
Note: ALWAYS check your wording in problems. It’ll come easier to you!
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Given f(x) = 70 + 11x, find x when f(x) =158
Answers
Answer:
[tex] \huge \boxed{x = 8}[/tex]
Step-by-step explanation:
f(x) = 70 + 11x
To find the value of x when f(x) =158 , equate f(x) to 158
We have
[tex]70 + 11x = 158 \\ 11x = 158 - 70 \\ 11x = 88[/tex]
Divide both sides by 11
[tex] \frac{11x}{11} = \frac{88}{11} \\ [/tex]
We have the final answer as
x = 8Hope this helps you
Sydney applied the steps below to find the product of (3.1)(–1.6). Step 1: (3.1)(–1.6) = (–1.6)(3.1) Step 2: = _______________ Step 3: = (–4.8) + (–0.16) Step 4: = –4.96 Which expression correctly fills in the blank in Step 2?
Answers
Answer:
(-1.6)(3 + 0.1)
Step-by-step explanation:
Sidney applied the steps to find the product of two numbers (3.1) and (-1.6),
Step 1,
(3.1)(-1.6) = (-1.6)(3.1)
Step 2,
(-1.6)(3.1) = (-1.6)(3 + 0.1)
Step 3,
(-1.6)(3 + 0.1) = -4.8 + (-0.16) [Distributive property]
Step 4,
-4.8 + (-0.16) = -4.96
Therefore, expression that correctly fits in step 2 will be,
(-1.6)(3 + 0.1)
Answer:
it might be D
Step-by-step explanation:
sorry is im wrong
EDIT
on edge im right!!!!!!!!!!!!!!
The value of 4.8-(2.5-6.3)
Answers
Answer:
first you will Subtract 6.3-2.5 and should get 3.8 now 4.8-3.8=1
Step-by-step explanation:
Answer:
The answer is 1
Step-by-step explanation:
PEMDAS
Solve
-5(x + 3) = 2(x - 4)
Answers
Answer:
x=-1
Step-by-step explanation:
Answer:
X = -1
Step-by-step explanation:
I can solve this grouping symbol question, please help!
Answers
I’m not sure but I guess it helps
Working simultaneously, eight pumps fill in a pool in 32 hours. All pumps work at the same pace. If only half of the pumps are working, in how many hours will the pool be filled in?
Answers
Answer:
16 hours
Step-by-step explanation:
trust me its rsm principal test rite? lol u just divide the hours by 2 cuz there are only half the pumps
Answer:
64 hours
Step-by-step explanation:
How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-8
Answers
-3(n+6)+10=-8
Use distributive property:
-3n -18 +10 = -8
Combine like terms:
-3n -8 = -8
Add 8 to both sides:
-3n = 0
Divide both sides by -3:
n = 0
Answer:
n=0
Step-by-step explanation:
Pythagorean Theory Plz help
Answers
The longest side is always the hypotenuse
2. Always across from the right angle
The line shown represents the amount of money Ben owes on his lunch account. 2 days ago, he owed $1. What is an equation of the line in point-slope form?
Answers
Answer:
y=-2x-1
Make sure to have no spaces in your answer.( if your test said that remember to not put space between them)
Step-by-step explanation:
Natasha can type 30 words a minute.
How many words can be typed in 7.5 minutes?
Answers
7*30=210
+15 (1/2 of 30)=225
Solve the equation below :
7 – 9x – 15 + 12x
Answers
Answer:
-8+3x
Step-by-step explanation:
7 – 9x – 15 + 12x
We cannot solve since there is no equals sign, we can only simplify
Combine like terms
7 -15 -9x+12x
-8 +3x
Answer:
3x - 8
Hope that was the answer you were looking for :D
Give two other names for PS
Answers
Answer:
it's c
Step-by-step explanation:
The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS. Then the correct option is D.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily speech, a line segment with two points designating its endpoints is also referred to as a line.
The line is shown below.
The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ5