Question

Line c has an equation of y = -5x + 3. Parallel to line c is line d, which passes through the

point (2, -6). What is the equation of line d?

Answer 1

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient so equation of line d is y = -5x + c.

Substitute (2,-6) into the equation to find c.

-6 = -5(2) + c

c = 4

Hence equation of line d is y = -5x + 4.