# How do you find an equation of the line that contains the given point and is parallel to the given line (-9,61), y= -6x 10?

Apr 23, 2017

Since the new line is parallel, the slope is also $- 6$

#### Explanation:

So we're looking for an equation of the form $y = - 6 x + b$
that will satisfy $\left(- 9 , 61\right)$, or:

$61 = - 6 \cdot \left(- 9\right) + b \to$

$61 = 54 + b \to b = 7$

The equation is $y = - 6 x + 7$