Write an equation that is parallel to y=1/4-7 and goes through the point (4,-5)

Answer 1

y=mx+b
-5=1/4(4)+b
-5=1+b
Subtract 1 from both sides: -6=b
Answer: y=1/4x-6

Answer 2

The most useful form of straight-line equations is the "slope-intercept" form:

y = mx + b

m is the slope and "b" gives the
y-intercept.

The other format for straight-line equations is called the "point-slope" form. For this one, they give you a point (x1, y1) and a slope m, and have you plug it into this formula:

y-y1= m(x – x1)

m is the slope and "b" gives the
y-intercept.

Parallel lines have same slope.

In this case:

m=1/4

x1=4

y1= -5

y-y1= m(x – x1)

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

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

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

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

y=(1/4)x-6