Graph this line using intercepts:x–2y=–8

Sure, here are the steps to graph the line x - 2y = -8 using intercepts:

Step 1: Find the x-intercept The x-intercept is the point where the line crosses the x-axis. At this point, the y-coordinate is 0. So, to find the x-intercept, we set y = 0 in the equation and solve for x:

x - 2(0) = -8 x = -8

So, the x-intercept is (-8, 0).

Step 2: Find the y-intercept The y-intercept is the point where the line crosses the y-axis. At this point, the x-coordinate is 0. So, to find the y-intercept, we set x = 0 in the equation and solve for y:

0 - 2y = -8 -2y = -8 y = -8 / -2 y = 4

So, the y-intercept is (0, 4).

Step 3: Plot the intercepts and draw the line Plot the x-intercept (-8, 0) and the y-intercept (0, 4) on the coordinate plane. Then draw a line through these two points. This line represents the graph of the equation x - 2y = -8.