Final answer:
To write the equation 2x-3y=9 in slope-intercept form, subtract 2x from both sides and then divide the equation by -3 to isolate y. The resulting equation is y = 2/3x - 3.
Step-by-step explanation:
To write the equation 2x-3y = 9 in slope-intercept form, we need to solve for y.
Step 1: Move the term with x to the other side of the equation by subtracting 2x from both sides: -3y = -2x + 9.
Step 2: Divide the entire equation by -3 to isolate y. This gives us: y = 2/3x - 3.
The equation y = 2/3x - 3 is now in slope-intercept form, where the coefficient of x represents the slope and the constant term represents the y-intercept.
Learn more about Writing equations in slope-intercept form