50.6k views
2 votes
What is an equation of the line that is parallel to y=-4x-5 and passes through the point (-2 6)

User Ian Samz
by
4.4k points

2 Answers

1 vote

Answer:

y = - 4x - 2

Explanation:

The equation of a line in slope- intercept form is

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

y = - 4x - 5 ← is in slope- intercept form

with slope m = - 4

Parallel lines have equal slopes, thus

y = - 4x + c ← is the partial equation of the parallel line

To find c substitute (- 2, 6) into the partial equation

6 = 8 + c ⇒ c = 6 - 8 = - 2

y = - 4x - 2 ← equation of parallel line

User Eduard Streltsov
by
4.5k points
2 votes

Answer: y = -4x -2

Explanation:

y = mx + b, m=-4 so y = - 4x + b

Now find b

x = - 2

y = 6

6 = -4 * - 2 + b

6 = 8 + b

b = 6 - 8

b = - 2

y = -4x -2

Hope this helps, have a BLESSED and wonderful day! :-)

-Cutiepatutie <3

User Hendrik M Halkow
by
4.2k points