Answer:
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.