Question

Which of the following is an equation of the line whose graph is shown in the coordinate plane below?

A. y = -3/2x + 4

B. y = -2/3x + 4

C. y = 2/3x + 6

D. y = 3/2x + 6

Answer 1

B. y=4-2/3x

Step-by-step explanation:

1. You find the slope by doing (y1-y2)-(x1-x2),

(6-0)-(-3-6)=6/-9 which can be simplified to -2/3 which is x

2. To find b, the line intersects on the y axis at 0,4 which makes 4=b

3. So y=4-2/3x

Answer 2

B. y = -2/3x + 4
Step-by-step explanation:
To find slope
m = y2-y1/x2-x1
m = 6-0/ -3-6
m = 6/-9
6/-9 simplified = -2/3x
m = -2/3x + 4
Y intercept is 4 because line goes across the point (0,4)