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

Step-by-step 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

Simplifying that gives us

y = 2x - 6

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: