Question

What is the slope of a line parallel to the line whose equation is 3x – 3y = -45.

Answer 1

Answer:

One

Step-by-step explanation:

A parallel line has the same slope of the original graph. Because of this, all we need to do is put the equation you gave into slop-intercept form, or:

y = mx + b

Don't forget that m is the slope, and b is the y-intercept!

3x - 3y = 45

-3y = -3x + 45

y = x + 15

Compare this to the equation of the slope-intercept form and look for m:

y = mx + b

There's nothing in front of the variable! No worries, that's the same thing as saying 1x.

But mathematicians are a little lazy (lol) and they don't want to mistake the number 1 for the lowercase letter L or a capital i. Because of that, they made 1x equal x.

Long story short, the slope for the equation (3x – 3y = -45) is one. And because parallel lines have the same slope as their original counterparts, the slope is one as well!

I recommend trying a few other problems like these. You'll end up using them a lot in the future!

Good luck and keep studying!