![A line is parallel to y = 5x + 9 and intersects the point (-2, -3). What is the equation of this parallel line? y = 5x + [?] class=](https://us-static.z-dn.net/files/d53/e4b5f65160e3d34b2f83c63b10e132b5.png)
Answer:
y = 5x + 7
Step-by-step 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 + 9 ← 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, - 3) into the partial equation
- 3 = - 10 + c ⇒ c = - 3 + 10 = 7
y = 5x + 7 ← equation of parallel line