Questions: Solve for y and graph the equation with a standard window on a graphing utility. 9x-4y=9 y= (Simplify your answer. Use integers or fractions for any numbers in the expression.) Use a graphing calculator to graph the equation with a standard window. Choose the correct graph below: A. B. C. D.

Solution Steps

Start with the given equation: \[ 9x - 4y = 9 \]

Subtract \( 9x \) from both sides to isolate the \( y \)-term: \[ -4y = -9x + 9 \]

Divide both sides by \(-4\) to solve for \( y \): \[ y = \frac{9x - 9}{4} \] \[ y = \frac{9}{4}x - \frac{9}{4} \]

The equation \( y = \frac{9}{4}x - \frac{9}{4} \) is a linear equation with a slope of \(\frac{9}{4}\) and a y-intercept of \(-\frac{9}{4}\).

By examining the provided graph options, the correct graph should have a line with a positive slope and a y-intercept at \(-\frac{9}{4}\).

Final Answer