Answer:
Explanation:
This equation is in standard form and we need to change it to slope-intercept form which is y = mx + b
So 5x - 15y = 6 needs a bit of work to have the y all by itself on the left side.
First, take away 5x from both sides if the equation.
5x - 15y = 6
-5x -5x
-15y = 6 - 5x Don't lose the minus in front of the 15, also probably go ahead and rearrange the right side so the x term comes first
-15y = -5x + 6 Almost there!
Divide everything by -15
y = -5x/-15 + 6/-15
Simplify the fractions.
-5/-15 is the same as 1/3
and 6/-15 is the same as -2/5, so the equation ends up looking like this:
y = 1/3 x - 2/5
Just make sure the x doesn't go beside the 3 on the bottom of the fraction. The 1/3 should be beside the x or the x has to be on top of the fraction kind of like this:
y = x/3 - 2/5