Question

What is the slope of a line parallel to the line whose equation is 5x + 3y = 15?

Answer 1

Lines which are parallel have equal slopes. So find the slope of this line and the slope of the parallel line will be the same

Answer 2

Find the slope of5x + 3y = 15 by putting it in slope -intercept form y = mx + b

Do this by solving for y

First subtract 5x from both sides

3y = -5x + 15

Then divide both sides by 3

y = -5x/3 + 5


so from this
we see that the slope of the line is -5/3

so slope of the parallel line is also -5/3