Answer:
y=-5/4x-4.
Step-by-step 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.
