Answer:
One
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!