Put the following equation of a line into slope-intercept form, simplifying all fractions.
6, x, minus, 3, y, equals, 15
6x−3y=
15
To put the equation in slope-intercept form, we need to solve for y.
Starting with 6x − 3y = 15, we first need to move the 6x term to the other side of the equation:
-3y = -6x + 15
Next, we divide both sides of the equation by -3 to solve for y:
y = (-6x + 15) / -3
Simplifying the right side of the equation:
y = (-6x/-3) + (15/-3)
y = 2x - 5
Therefore, the equation 6x − 3y = 15, simplified and in slope-intercept form, is y = 2x - 5.