Put the following equation of a line into slope-intercept form, simplifying all fractions.

6, x, plus, 4, y, equals, 16
6x+4y=
16

To put the equation 6x + 4y = 16 into slope-intercept form, we need to solve for y.

Step 1: Move the 6x term to the right side by subtracting 6x from both sides of the equation:
4y = -6x + 16

Step 2: Divide both sides of the equation by 4 to isolate y:
y = (-6/4)x + 16/4

Simplifying the fractions, we have:
y = (-3/2)x + 4