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Write the equation of a line that is parallel to y=−5/4x+7

and that passes through the point (-4,1)

User Cpinamtz
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2 Answers

2 votes

Answer: y=-5/4x-4.

Explanation:

User Grimsteel
by
6.9k points
6 votes

Answer:

y=-5/4x-4.

Explanation:

parallel lines have to have the same slope so they don't intersect each other

original equation with the same slope and rewrite it using point slope form:

y-y1=-5/4(x-x1) now Substitute the point(-4,1)

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

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

Now we can distribute the -5/4 and add 1 to the right to get our final slope-intercept form:

y-1=-5/4x-5

y=-5/4x-4.

The parallel line of y=-5/4x+7 that passes through point (-4,1) is y=-5/4x-4.

User Lucasz
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