Questions: Drag the red and blue dots along the x-axis and y-axis to graph 9x-6y=36.

Transcript text: Drag the red and blue dots along the x-axis and y-axis to graph $9x-6y=36$.

Solution

Step 1: Identify the Equation

The given equation is $9x - 6y = 36$.

Step 2: Find the x-intercept

To find the x-intercept, set $y = 0$ and solve for $x$: \[ 9x - 6(0) = 36 \] \[ 9x = 36 \] \[ x = 4 \] So, the x-intercept is $(4, 0)$.

Step 3: Find the y-intercept

To find the y-intercept, set $x = 0$ and solve for $y$: \[ 9(0) - 6y = 36 \] \[ -6y = 36 \] \[ y = -6 \] So, the y-intercept is $(0, -6)$.

The x-intercept is $(4, 0)$ and the y-intercept is $(0, -6)$.

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