Question

What is the slope of a line parallel to the line with equation 5x + 3y = 7?

Answer 1

-5/3

Explanation:

Parallel lines are lines which have the exact same slope but different y-intercepts. We can find the slope by converting to slope-intercept form, y=mx+b from standard form.

We convert by using inverse operations to isolate y.

5x+3y=7

5x-5x+3y=7-5x

0x+3y=-5x+7

3y=-5x+7

`(3y)/(3) =(-5x+7)/(3) \\y=(-5)/(3)x+(7)/(3)`.

The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.