Question

Your Turn: Find the equation of a line that is parallel to y=2x+7, and passes through the point (-4, 7). SHOW YOUR WORK

Answer 1

Parallel lines have the same slope. Let's fill that into the slope-intercept equation.
y=2x+b

Now, we can use the point we are given to find the y-intercept.
7=2(-4)+b
7=-8+b
b=7+8
b=15

Finally, we can substitute all the information we have discovered to complete the slope-intercept equation.
y=2x+15