Question

Write the equation of a line that is parallel to the graph of y = − 7x − 9, and passing through the point (1, 10). SHOW ALL WORK!

Answer 1

y = - 7x + 17

Explanation:

The equation of a line in slope- intercept form is

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

y = - 7x - 9 ← is in slope- intercept form

with slope m = - 7

Parallel lines have equal slopes, thus

y = - 7x + c ← is the partial equation

To find c substitute (1, 10) into the partial equation

10 = - 7 + c ⇒ c = 10 + 7 = 17

y = - 7x + 17 ← equation of parallel line