Question

What is the slope-intercept form of the equation 6x-3y=18

Answer 1

Explanation:

Saying "put an equation into slope-intercept form" is another way of saying, "solve this equation for y". Not 6y or -3y...just plain old ordinary positive y. In order to begin that process, we need to first isolate the term that has the y in it. We do that by subtracting 6x from both sides to get

-3y = -6x + 18

Now, again, we are not solving for -3y, just y. We do that by dividing both sides by -3 to get

`y=(-6x)/(-3)+(18)/(-3)`

Simplifying that gives us

y = 2x - 6