Question

What is the slope intercept form of the line passing through `(-7,7)` with a slope of `1/2`?

Answer 1

`y=1/2x+21/2`

Explanation:

Equation of the line of slope `m` and passing through `(x_1,y_1)` is

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

`rArr" "y-7=1/2(x+7)`

`rArr" "y=1/2x+7/2+7`

`rArr" "y=1/2x+21/2`

This is of the required form `y=mx+c`.