Question

What is the slope intercept form of the line passing through `(3,-12)` with a slope of `5/4`?

Answer 1

The equation of line in slope intercept form is `y= 5/4x -63/4`

Explanation:

Let the equation of line in slope intercept form is `y=mx+b`

where `m` is slope and `b` is `y` intercept.

Then the equation of line with a slope of `m=5/4` is

`y= 5/4x +b` . Since the point `(3 , -12)` is on the line , it

will satisfy the equation. `- 12 = 5/4*3 +b or b= -12-15/4`

or `b = -63/4`

Hence the equation of line in slope intercept form is

`y= 5/4x -63/4` [Ans]