Question

Which equation, in slope-intercept form, represents the relationship shown in this table?

Answer 1

`y=2x+8`

Explanation:

step 1

Find the slope

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

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

take two points from the data

(0,8) and (1,10)

substitute in the formula

`m=(10-8)/(1-0)`

`m=(2)/(1)`

`m=2`

step 2

Find the equation of the line in slope intercept form

`y=mx+b`

we have

`m=2`

`b=8` ----> the y-intercept is the point (0,8)

substitute

`y=2x+8`