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1 vote
What is an equation of the line that is parallel to y=4x-1 and that passes through the point (-3,5)?

A. y=4x-3
B. y=4x+5
C. y=4x+17
D. y=-4x+17

2 Answers

3 votes

Answer: The answer is C. y=4x+17

Explanation:

The other person was correct and i got an A<3

User Scott Centoni
by
6.9k points
5 votes

Answer:

C. y=4x+17

Explanation:

If we want to find a line parallel to y =4x-1, the slopes will have to be the same because parallel lines have the same slope. Knowing y= mx+b we know the slope of the old line is 4, so the slope of the parallel line is 4.

If we know the slope of the line and a point, we can use the point slope form of a line

y-y1 = m(x-x1)

y-5 = 4(x--3)

y-5=4(x+3)

Distribute the 4

y-5 = 4x+12

Add 5 to each side

y-5+5 = 4x+12+5

y = 4x+17

User Liam Sorsby
by
6.3k points
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