Question

Find The equation of the line that is parallel to the line 4y+48-16x=0and passes through the points (1,4)and(3,6)

Answer 1

4y + 48 - 16x = 0        ~Solve for y~
4y = -48 + 16x
y = -12 + 4x

The slope is 4.

We'll use the point (1, 4) and m = 4.
Plug these into the equation: y - y1 = m(x - x1)

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