Graph this line using intercepts:20x+15y=–600

Sure, here are the steps to graph the line 20x + 15y = -600 using intercepts:

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

20x + 15(0) = -600 20x = -600 x = -600 / 20 x = -30

So, the x-intercept is (-30, 0).

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

20(0) + 15y = -600 15y = -600 y = -600 / 15 y = -40

So, the y-intercept is (0, -40).

Step 3: Plot the intercepts Plot the x-intercept (-30, 0) and the y-intercept (0, -40) on the graph.

Step 4: Draw the line Draw a straight line that passes through the two intercepts. This line represents the equation 20x + 15y = -600.