Question

What is equation of a line that is parallel to y = -6x – 1 and passes through the point (1,4)

Answer 1

y = -6x + 10

Explanation:

Parallel lines share the same slope. Given y = -6x – 1, we know that the equation of this new line has the form y = -6x – C. The coordinates of the point (1, 4) determine the value of C:

(4) = -6(1) – C, or:

4 = -6 - C

Then C = -10, and the desired equation is

y = -6x – (-10), or

y = -6x + 10