Question

What is the equation of the line in standard form that passes through the point (3, –2) and is parallel to the line y = –4x + 1?

a) x+4y= 10
b) x-4y= -10
c) 4x-y= -10
d) 4x +y =10

Answer 1

well, it has to have the slope of -4 since it's parallel. plug in the point.
y = -4x + b
-2 = -4(3) + b
-2 = -12 + b
10 = b

so the equation is y = 4x + 10
to get in the right format...

y = 4x +10
-10 + y = 4x
-10 = 4x - y
so it's C.