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

1 Answer
Dec 15, 2016

Answer:

#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!