write down the equation of the line that is parallel to y=6x+1 and passes through (-7,1)

Answer 1

Parallel lines are parallel because they have the same slope. So a line parallel to y=6x + 1 would also have a slope of 6.

If the parallel line passes through the equation (-7,1), plug the slope of 6 and the point into y = mx + b and solve for b.

1 = 6(-7) + b

1 = -42 + b

43 = b

Therefore the equation would be y = 6x + 43.