Question

question drag the red and blue dots along the x - axis and y - axis to graph ( x - 2y = 8 ).

Explanation:

Step1: Find x - intercept (set y = 0)

To find the x - intercept, we set \(y = 0\) in the equation \(x-2y = 8\). Substituting \(y = 0\) into the equation gives us \(x-2(0)=8\), which simplifies to \(x = 8\). So the x - intercept is the point \((8,0)\).

Step2: Find y - intercept (set x = 0)

To find the y - intercept, we set \(x = 0\) in the equation \(x - 2y=8\). Substituting \(x = 0\) into the equation gives us \(0-2y = 8\). Solving for \(y\), we divide both sides by \(- 2\): \(y=\frac{8}{-2}=-4\). So the y - intercept is the point \((0, - 4)\).

Answer:

To graph the line \(x - 2y=8\), we drag the red dot (x - intercept) to \((8,0)\) on the x - axis and the blue dot (y - intercept) to \((0,-4)\) on the y - axis. Then we draw a line through these two points.