Question

Hey y'all can you help me with this geometry problem, I'd appreciate the help :)

Answer 1

To find the equation of the line that is parallel to the given equation, the slopes have to be the SAME. So m=2

You are using the equation y = mx + b

Now that you know m, you need to find b. To find b, you can plug in the point (-3,6) into the equation.

y = 2x + b

6 = 2(-3) + b

6 = -6 + b

12 = b

Your new equation is:

y = 2x + 12

Answer 2

y=2x-7

An equation of the line that is parallel to y=2x-7 means that the slope stays the same. In this case, in your new equation, 2x stays the same.

y=2x+b

Using this, you plug in the points given, (-3,6).

y=6, x=-3

6=(2*-3) + b

6=-6+b

b=12

Therefore, your final equation that's parallel to y=2x-7 is y=2x+12