Put the following equation of a line into slope-intercept form, simplifying all fractions.
9y-3x=18
To put the equation 9y - 3x = 18 into slope-intercept form, we need to solve for y and express it in terms of x.
First, let's subtract 9y from both sides of the equation:
-3x = -9y + 18
Next, let's isolate y by dividing the entire equation by -9:
-3x / -9 = (-9y + 18) / -9
(1/3)x = y - 2
Finally, let's rearrange the equation by swapping the positions of y and (1/3)x:
y = (1/3)x + 2
Therefore, the equation 9y - 3x = 18 in slope-intercept form is y = (1/3)x + 2.