SOLUTION: Write the equation in slope-intercept form -x + 5y = 15

Question 69807: Write the equation in slope-intercept form
-x + 5y = 15

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!

The slope-intercept form is y = mx + b in which m and b are two constants.
All you have to do is to rearrange the given equation so that it is in the form:
y = mx + b.
The first thing to notice is that in the equation you were given, the term containing x
is on the left side, but in the slope-intercept form it is on the right side. So to move
the term containing the x to the right side, you can add x to both sides. Adding x
on the left side has the effect of canceling out the -x. And adding x on the right
side puts an x on the right side. The resulting equation is now:

When you compare this equation with the slope-intercept form, you should see that the
slope-intercept form has only y on the left side. But your equation now has 5y on the left
side. You need to divide the left side of your equation by 5 so that it just becomes
y. But if you divide the left side by 5, you must also divide all the terms on the right
side by 5. The division is:

When you do the division you get:

Now you have it exactly in the slope-intercept form. You have just y on the left
side and on the right side you have and
Hope this helps.
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