Question

he point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = 1/4 (x – 8). What is the slope-intercept form of the equation for this line?

Answer 1

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

Explanation:

The point-slope form of the equation of a line that passes that through points (8, 4) and (0, 2) is given as;

`y-4=(1)/(4)(x-8)`

To find the slope-intercept form of this line, we need to expand the point-slope form.

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

We now solve for y to obtain;

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

We simplify to obtain:

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

This equation is now in the form;

`y=mx+c`

This is what we refer to as the slope-intercept form.