Question

A line passes through the point (0, 2) and has a slope of -1/4. What is the equation of the line?

A.
4x+y=2
B.
x-4y=8
C.
4x-y=-2
D.
x+4y=8

Answer 1

y = mx + b
slope(m) = -1/4
(0,2)...x = 0 and y = 2
now we sub.....and solve for b, the y intercept
2 = -1/4(0) + b
2 = b

equation is : y = -1/4x + 2...but we need it in standard form Ax + By = C

y = -1/4x + 2 ---- multiply entire equation by 4
4y = -x + 8 --- add x to both sides
x + 4y = 8

Answer 2

thank you! i finally understand how to do problems like that! the way you explained it actually makes since.
so the answer would be "D"