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A line is parallel to y = 5x + 9 and

intersects the point (-2, -3). What is the
equation of this parallel line?
y = 5x + [?]

A line is parallel to y = 5x + 9 and intersects the point (-2, -3). What is the equation-example-1

1 Answer

2 votes

Answer:

y = 5x + 7

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

User Maryah
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