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

9, x, plus, 6, y, equals, 42
9x+6y=
42

To put the equation in slope-intercept form, we need to isolate y on one side of the equation.

Starting with 9x + 6y = 42:

Subtracting 9x from both sides of the equation, we get:
6y = -9x + 42

To simplify the fraction, we can divide both sides of the equation by 6:
y = (-9/6)x + 42/6

Simplifying further:
y = (-3/2)x + 7