Question

Write an equation for the line parallel to the line with the equation

y = 5x – 8
that goes through the point (2,4).

Answer 1

y = 5x - 6

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 8 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, thus

y = 5x + c ← is the partial equation

To find c substitute (2, 4) into the partial equation

4 = 10 + c ⇒ c = 4 - 10 = - 6

y = 5x - 6 ← equation of parallel line