Question

The point-slope form of the equation of the line that passes through points (-5,-1) and (10, -7 ) 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 equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

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

y - 4 =
`\frac{1}4}` x - 2 ( add 4 to both sides )

y =
`(1)/(4)` x + 2 ← in slope- intercept form