Question

write the equation of a line parallel to y = 2x + 2 that passes through the point (-1, -7). Please show your work:)

Answer 1

Answer:

The equation of the line would be y = 2x - 5

Step-by-step explanation:

To find a line parallel to this one, note that parallel lines have the same slope. Since the first line has a slope of 2, then we know the second does as well.

Now we use that slope and the point in point-slope form and solve for y.

y - y1 = m(x - x1)

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5