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5 votes
Write an equation for the line that

passes through the point (5, -4) and
is parallel to the line y = 2x + 3.

User Lukewm
by
8.4k points

1 Answer

2 votes

Answer:

y = 2x - 14

Explanation:

The equation of a line in slope- intercept form is

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

y = 2x + 3 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes, thus

y = 2x + c ← is the partial equation

To fid c substitute (5, - 4) into the partial equation

- 4 = 10 + c ⇒ c = - 4 - 10 = - 14

y = 2x - 14 ← equation of parallel line

User Ianw
by
7.7k points