Put the following equation of a line into slope-intercept form, simplifying all fractions.
9x+6y=42
To transform the equation 9x + 6y = 42 into slope-intercept form, we need to isolate the y variable on one side of the equation.
Starting with the given equation:
9x + 6y = 42
Subtracting 9x from both sides:
6y = -9x + 42
Next, divide both sides of the equation by 6 to solve for y:
y = (-9/6)x + 42/6
Simplifying the fraction in the equation:
y = (-3/2)x + 7
Therefore, the equation 9x + 6y = 42 in slope-intercept form is y = (-3/2)x + 7.