Question

Find at least three ordered pairs that satisfy the following equation and graph the line through them. You may use the grid provided or create your own graph. Show all work. -6-5x=2y

Answer 1

2y = -6-5x
5x+ 2y = -6

When x=0, 5(0) + 2y = -6 so y=-6/2 = -3
Thus, one point is (0,-3)

When y=0, 5x + 2(0) = -6
5x = -6 so x= -6/5
Thus, other point is (-6/5,0)

Let x=2, 5(2) + 2y = -6
2y = -6-10 = -16
y=-16/2 = -8
Thus, third point is (2,-8)

Thus, three ordered pairs that satisfy the given equation are (0,-3) (-6/5,0) and (2,-8)

The black lines are co-ordinate axis and the red line is the requried line. Its x intercept is (-6/5,0) and y intercept is (0,-3)