drag the red and blue dots along the x - axis and y - axis to graph $-4x + 9y = 28$.

Explanation:

Step1: Find the x - intercept

Set (y = 0) in the equation (-4x+9y = 28). [ \begin{align*} -4x+9(0)&=28\ -4x&=28\ x&=- 7 \end{align*} ]

Step2: Find the y - intercept

Set (x = 0) in the equation (-4x + 9y=28). [ \begin{align*} -4(0)+9y&=28\ 9y&=28\ y&=\frac{28}{9}\approx3.11 \end{align*} ]

Answer:

The red dot (x - intercept) should be at ((-7,0)) and the blue dot (y - intercept) should be at ((0,\frac{28}{9}))