Find the slope of a line parallel to the line

Question

0 = 4y - 16 - 3x

Answer 1

you just want to put this into the form y = mx + b and then see what the value of "m" is ... since it's parallel it will be the same!

doing that algebraically i get

0 = 4y - 16 - 3x

4y = 3x + 16

y = 3/4x + 4

meaning that the slope here is 3/4

Answer 2

So to find the slope, we need to isolate y:

4y - 3x - 16 = 0

Subtract 4y:

-3x - 16 = -4y

Divide by -4:

y = ³/₄ x + 4

So the slope of the line is ³/₄