drag the red and blue dots along the x - axis and y - axis to graph - 4x + 2y = 6.

Explanation:

Step1: Find the x - intercept

Set $y = 0$ in the equation $-4x+2y = 6$. Then $-4x=6$, so $x=-\frac{6}{4}=-\frac{3}{2}=-1.5$.

Step2: Find the y - intercept

Set $x = 0$ in the equation $-4x + 2y=6$. Then $2y=6$, so $y = 3$.

Step3: Plot the points and draw the line

Plot the x - intercept $(-1.5,0)$ (the red dot on the x - axis) and the y - intercept $(0,3)$ (the blue dot on the y - axis) and draw a straight line through them.

Answer:

The red dot should be at $x=-1.5$ on the x - axis and the blue dot should be at $y = 3$ on the y - axis.