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

Dec 15, 2016

$y = - 2 x + 4$

#### Explanation:

To solve this, we use Slope-Intercept form. This is $y - y 1 = m \left(x - x 1\right)$

The slope (-2) we plug in as $m$, the 2 (from the point you were given) will be plugged in for $x 1$, and the 0 (from the point you were given) will be plugged in for $y 1$.

Now, we should have the equation: $y - 0 = - 2 \left(x - 2\right)$

Next, we distribute $- 2 \left(x - 2\right)$

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

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

Hope this helps!