Question

What is the slope of a line that is parallel to the line represented by the equation 3x+4y=12?

Answer 1

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

(there is probably another way to do this, but I will be doing it this way)

Isolate the "y" in the equation

3x + 4y = 12 Subtract 3x on both sides

4y = 12 - 3x Divide 4 on both sides

`y=3-(3)/(4)x` or
`y=-(3)/(4) x+3` The slope is -3/4

For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also
`-(3)/(4)`