Question

What is the equation of the line that is parallel to y = one-fifth x + 4 and that passes through (5,–4)?

On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).

y = negative 5 x minus 29

y = negative 5 x + 21

y = one-fifth x minus 4

y = one-fifth x minus 5

answer y=1/5x-5

Answer 1

• D) y = one-fifth x minus 5 ( or y = 1/5x - 5 )

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Parallel lines have equal slopes.

Given line has a slope of m = 1/5.

Use point-slope form and the coordinates of the point (5, - 4) find the parallel line:

• y - (- 4) = 1/5(x - 5)
• y + 4 = 1/5x - 1
• y = 1/5x - 1 - 4
• y = 1/5x - 5

Correct choice is D.