Question

What is the equation of the line with slope `m= 3/8` that passes through `(-7,-3)`?

Answer 1

`y=3/8 (x+7)-3=3/8x-3/8`

Explanation:

In general, an equation for a line of slope `m` passing through the point `(c,d)` is

`y=m(x-c)+d=mx+(d-mc)`.

The first equality is sometimes written as `y-d=m(x-c)` and is called "point-slope form" (and sometimes it's written `y-y_{0}=m(x-x_{0})` to emphasize that role of the coordinates).