Question

Considee the linear equation 5x+2y=-20. Determine the x-intercept and the y-intercept and use them to graph the line and find the slope of the line.

Answer 1

x-intercept is (-4,0); y-intercept is (0, -10).

Explanation:

To find the x-intercept, set y = 0 and solve for x:

5x + 2(0) = -20. Then 5x = -20, or x = -4. The x-intercept is (-4,0).

To find the y-intercept, set x = 0 and solve for y:

5(0) + 2y = -20. Thus, y = -10. The y-intercept is (0, -10).

Now we have two points on the line, both intercepts.

As we go from (-4,0) to (0, -10), x increases by 4 and y decreases by 10.

Thus, the slope of this line is m = rise / run = -10/4 = -5/2.

The easiest way to graph this line is to plot the two intercepts (-4,0) and (0, - 10) and draw a line through these two points.