Question

What is the equation of the line with slope `m= -7/17` that passes through `(-2,1)`?

Answer 1

The equation of the line is `y=-7/17 x +3/17`

Explanation:

Let's start by writing the equation of a line:

`y=m x+b`

We know `m=-7/17` and that the point `(-2,1)` will satisfy this equation. Let's substitute all of that into the equation and see if we can solve for `b`

`1 = -7/17 * (-2) + b`

simplify the multiplication

`1 = 14/17 + b`

Then subtract `14//17` from both sides

`b=1-14/17 = (17-14)/17 = 3/17`

So the equation of the line we are looking for is

`y=-7/17 x +3/17`