Graph this line using intercepts:x+5y=–10

Sure, here are the steps to graph the line x + 5y = -10 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:

x + 5(0) = -10 x = -10

So, the x-intercept is (-10, 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:

0 + 5y = -10 5y = -10 y = -10/5 y = -2

So, the y-intercept is (0, -2).

Step 3: Plot the intercepts Plot the x-intercept (-10, 0) and the y-intercept (0, -2) on the graph.

Step 4: Draw the line Draw a straight line through the two intercepts to graph the line x + 5y = -10.