Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x-3y=15
To put the equation 6x - 3y = 15 into slope-intercept form, we need to solve for y.
First, let's isolate the term with y by subtracting 6x from both sides:
6x - 6x - 3y = 15 - 6x
-3y = 15 - 6x
Next, divide both sides of the equation by -3:
-3y / -3 = (15 - 6x) / -3
y = (15 - 6x) / -3
To simplify the right side, distribute the -1/3 to both terms inside the parentheses:
y = (-1/3)(15) + (-1/3)(-6x)
y = -5 + 2x
Therefore, the equation 6x - 3y = 15 in slope-intercept form is y = 2x - 5.