Question

I need the slope intercept form please help and I need tho show the work

Answer 1

The slope-intercept form is
`y=(1)/(2) x+5`.

Solution:

Given data:

Slope of the line, m =
`(1)/(2)`.

Point on the line = (–2, 4)

Here
`x_1=-2, y_1=4`

Let us find the slope-intercept form of the line using point-slope formula.

Point-slope formula:

`y-y_1=m(x-x_1)`

`$y-4=(1)/(2) (x-(-2))`

`$y-4=(1)/(2) (x+2)`

`$y-4=(1)/(2) x+1`

Add 4 on both sides of the equation.

`$y=(1)/(2) x+5`

Hence the slope-intercept form is
`y=(1)/(2) x+5`.