Question

40 Points

What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (negative 3, 0) and (negative 2, 4).
The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.

Answer 1

Answer: The slope is 4 and the y-intercept is 12.

Explanation:

(-3,0) and (-2,4)

find the difference in the Y values 0-4=-4

find the difference in the v- values -3-(-2) =-1

Divide the y difference by the x difference -4/-1 = 4 so 4 is the slope

Now to find the y intercept, use the formula y=mx + b and plot in coordinates and slope to find the y- intercept

4= 4(-2) + b

4 = -8 + b

+8 +8

b= 12 so the y intercept is 12

now the equation will be like y = 4x + 12

Answer 2

(-3,0) and (-2,4)

find the difference in the Y values 0-4=-4

find the difference in the v- values -3-(-2) =-1

Divide the y difference by the x difference -4/-1 = 4 so 4 is the slope

Now to find the y intercept, use the formula y=mx + b and plot in coordinates and slope to find the y- intercept

4= 4(-2) + b

4 = -8 + b

+8 +8

b= 12 so the y intercept is 12

now the equation will be like y = 4x + 12