Question

drag the red and blue dots along the x-axis and y-axis to graph $2x - 9y = 9$.

Explanation:

Step1: Find x-intercept (y=0)

Substitute $y=0$ into $2x-9y=9$:
$2x - 9(0) = 9$
$2x = 9$
$x = \frac{9}{2} = 4.5$

Step2: Find y-intercept (x=0)

Substitute $x=0$ into $2x-9y=9$:
$2(0) - 9y = 9$
$-9y = 9$
$y = -1$

Answer:

1. Place the red dot (x-intercept) at $(4.5, 0)$ on the x-axis.
2. Place the blue dot (y-intercept) at $(0, -1)$ on the y-axis.
3. Draw a straight line through these two points to graph $2x-9y=9$.