Question

Directions: Identify the slope and y-intercept of the line on the graph. Then, write the equation of the line in slope-intercept form.

Answer 1

To find out the slope, we need two points

so

looking at the graph

we take

(-4,5) and (0,-3)

m=(-3-5)/(0+4)

m=-8/4

m=-2

the y-intercept (value of y when the value of x is zero) is the point (0,-3)

the equation of the line in slope-intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

so

m=-2

b=-3

substitute

y=-2x-3