Question

How do you find an equation of the line having the given slope and containing the given point: m=-2, (2,0)?

Answer 1

`y=-2x+4`

Explanation:

To solve this, we use Slope-Intercept form. This is `y-y1=m(x-x1)`

The slope (-2) we plug in as `m`, the 2 (from the point you were given) will be plugged in for `x1`, and the 0 (from the point you were given) will be plugged in for `y1`.

Now, we should have the equation: `y-0=-2(x-2)`

Next, we distribute `-2(x-2)`

With this, we get: `y-0=-2x+4`

This is equivalent to `y=-2x+4`, which is your answer.

Hope this helps!