Graph this line using intercepts:5x–3y=–15

Sure, here are the steps to graph the line 5x - 3y = -15 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, substitute y = 0 into the equation and solve for x:

5x - 3(0) = -15 5x = -15 x = -15 / 5 x = -3

So, the x-intercept is (-3, 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, substitute x = 0 into the equation and solve for y:

5(0) - 3y = -15 -3y = -15 y = -15 / -3 y = 5

So, the y-intercept is (0, 5).

Step 3: Plot the intercepts Plot the x-intercept (-3, 0) and the y-intercept (0, 5) on the graph.

Step 4: Draw the line Draw a straight line through the two intercepts to graph the line.

And that's it! You've graphed the line 5x - 3y = -15 using intercepts.