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allochka39001 [22]
3 years ago
6

What is the equation of the line shown in the graph? A function graph of a line with two points (-3,-2) and (-1,2) with an x axi

s of negative five to five and a y axis of negative five to five Drag and drop the expressions to write the equation of the line in slope-intercept form. y = _ + _ 阿ㄐ高

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0

Answer:

y=2x+4

Step-by-step explanation:

1) Finding out the slope:

(-3,-2) ; (-1,2)

m=\frac{y-y_{0}}{x-x_{0}}=\frac{2+2}{-1+3}\Rightarrow m=\frac{4}{2}\Rightarrow m= 2

2) Finding the linear parameter. Just plug in one of the points (2,-2).

y=2x+b\Rightarrow -2=2(-3)+b\Rightarrow 6-2=b\Rightarrow b=4\\y=2x+4

3) The slope intercept form, is when we place the y on the left side, and the mx and b parameters on the right side:

y=mx +b \Rightarrow y=2x+4

Svetllana [295]3 years ago
5 0
Y=(1/2 x)-2

My Work:
Say that the slop is "a" and that the y-intercept is "b".

For the slope:
First coordinate equation: -3=-2a+b
Second coordinate equation: -1=2a+b
Combine the equations. -3-(-1)=-2a-(2a)+b-(b)
Break down the parenthesis. -3+1=-2a-2a+b-b
Simplify the equation. -2=-4a
Divide both sides by -4 to get the answer to the slope. a=1/2

For the y-intercept:
Use the second coordinate's equation and the now known slope. -3=-2*1/2+b
Multiply -2 by 1/2 (Order of Operations). -3=-1+b
Add +1 to both sides to cancel the -1. -3+1=b
Finally, solve the solve -3+1 to get the answer to the y-intercept. b=-2
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Answer:

7 is your answer

Step-by-step explanation:

Hope that helps you

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3 years ago
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The length of the hypotenuse of a right triangle is 14 inches. If the length of one leg is 6 inches, what is the approximate len
Liula [17]
Using the Pythagorean theorem:

6^2 + X^2 = 14^2

36 + x^2 = 196

X^2 = 196-36 

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x = SQRT(160)

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Or as a decimal:
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5 0
2 years ago
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Please helps
lisabon 2012 [21]

Answer: A. f(n) = 4 ∙ 2n-1

Step-by-step explanation:

because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.

5 0
3 years ago
What is the approximate distance between point A (-8, 7) and point B (-2, 3)?
RoseWind [281]

Answer:

7.2units

Step-by-step explanation:

3 0
2 years ago
Which of the following equations has a slope of -2 and passes through the point (2,3)?
ryzh [129]

Option C (Same as Option D)

<h2>Explanation:</h2>

Option C and D are the same, so I'll assume you made a mistake when writing this question. However, let's figure out which of the following equations has a slope of -2 and passes through the point (2,3):

A. y = -2x + 6

B. y - 3 = -2(x + 2)

C. y = -2x + 7

<em />

<em>All these equations have a slope of -2.</em>

FROM OPTION A:

Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+6 \\ \\ 3=-4+6 \\ \\ 3=2 \ False!

Since 3\neq 2 then the line doesn't pass through the point (2, 3)

FROM OPTION B:

Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3-3=-2((2)+2) \\ \\ 0=-2(4) \\ \\ 0=-8 \ False!

Since 0\neq -8 then the line doesn't pass through the point (2, 3)

FROM OPTION C:

Recall \ our \ point \ is \ (2,3), \ so: \\ \\ x=2 \\ \\ y=3 \\ \\ Substituting \ into \ the \ equation: \\ \\ 3=-2(2)+7 \\ \\ 3=-4+7 \\ \\ 3=3 \ True!

Since 3\neq 3 then the line passes through the point (2, 3)

<em>Finally, the equation that has a slope of -2 and passes through the point (2,3) is Option C (Same as Option D)</em>

<em></em>

<h2>Learn more:</h2>

x and y intercepts of a line: brainly.com/question/13770925#

#LearnWithBrainly

5 0
3 years ago
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