Answer: A
Explanation:
The equation
is in slope-intercept form(
). For a line to be parallel to another, it must have the same slope. The slope of the line given is 2/3. Thus, simply plug in 2/3 for the slope to get:
. Then, because the line passes through -6, 6, plug those values in for x and y, respectively.
![6=(2)/(3) *-6+b](https://img.qammunity.org/2022/formulas/mathematics/high-school/ge7wvyr9tmyf7qu4lhv9qdn8r2rafc9xt4.png)
![6=-4+b](https://img.qammunity.org/2022/formulas/mathematics/high-school/957ihev992153udaylumivdvinydeejsbb.png)
![10=b](https://img.qammunity.org/2022/formulas/mathematics/high-school/oyjmcwhm1iah0ag0hswd6smov2u2gn1jap.png)
Thus, the equation of the line is
, or A
Hope it helps :D