Question

What is the equation of the line?

Answer 1

`y=(1)/(2)x+2`

Explanation:

step 1

take two points on the graph

I take the intercepts

The y-intercept is the point (0,2)

The x-intercept is the point (-4,0)

step 2

Find the slope of the line

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

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

substitute the values

`m=(2-0)/(0+4)`

`m=(2)/(4)`

simplify

`m=(1)/(2)`

step 3

Find the equation of the line in slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept

we have

`m=(1)/(2)`

`b=2`

substitute

`y=(1)/(2)x+2`