Question

Find the equation of the linear function represented by the table below in slope-intercept form.

Answer 1

Explanation:

Find the slope

we have

(0,-6) and (1,4)

The slope is equal to

step 2

Find the equation of the line in slope intercept form

The equation of the line in slope intercept form is

we have

-----> y-intercept (given value in the table)

substitute

Answer 2

`y=10x-6`

Explanation:

step 1

Find the slope

we have

(0,-6) and (1,4)

The slope is equal to

`m=(4+6)/(1-0)=10`

step 2

Find the equation of the line in slope intercept form

The equation of the line in slope intercept form is

`y=mx+b`

we have

`m=10`

`b=-6` -----> y-intercept (given value in the table)

substitute

`y=10x-6`