Question

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

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

Answer 1

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

Explanation:

Answer 2

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.