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:
<em>y</em> = <em>mx</em> + <em>b</em>
Don't forget that <em>m </em>is the slope, and <em>b</em> is the y-intercept!
3<em>x</em> - 3<em>y </em>= 45
-3<em>y</em> = -3<em>x</em> + 45
<em>y</em> = <em>x</em> + 15
Compare this to the equation of the slope-intercept form and look for <em>m:</em>
<em>y</em> =<em> mx</em> + <em>b</em>
There's nothing in front of the variable! No worries, that's the same thing as saying 1<em>x</em>.
But mathematicians are a little lazy (lol) and they don't want to mistake the number 1 for the lowercase letter <em>L </em>or a capital <em>i. </em>Because of that, they made 1<em>x</em> equal <em>x.</em>
Long story short, the slope for the equation (3<em>x</em> – 3<em>y</em> = -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!
