Put the following equation of a line into slope-intercept form, simplifying all fractions.
4x+6y=36
To put the equation into slope-intercept form, 4x + 6y = 36, we need to isolate y on one side of the equation.
Subtract 4x from both sides:
6y = -4x + 36
Next, divide both sides by 6 to solve for y:
y = (-4x + 36)/6
To simplify the expression further, we can divide each term by 2:
y = (-2x + 18)/3
Thus, the equation in slope-intercept form is:
y = (-2/3)x + 6