Question

What is an equation of the line that is parallel to y=4x-10 and passes through (1,13)?​

Answer 1

Answer:

y = 4x + 9

Step-by-step explanation:

Parallel lines have the same slope. If the line y = 4x - 10 is parallel to it then the slope for both lines is 4.

To write the equation, substitute m = 1 into the point slope form with (1,13).

$y - y_1 = m(x-x_1)\\y -13 = 4(x-1)\\y - 13= 4x - 4\\y = 4x +9$