Graph the points (-2, 4) and (2, -4) and draw a straight line that passes through both of them. Does the graph of (0, 0) lie on this line?
A) No
B) Yes

Question

Graph the points (-2, 4) and (2, -4) and draw a straight line that passes through both of them. Does the graph of (0, 0) lie on this line? 
A) No 
B) Yes

Quizplus · Accepted Answer

The slope of the line passing through points (-2, 4) and (2, -4) is:
m = (y2 - y1)/(x2 - x1) = (-4 - 4)/(2 - (-2)) = (-8/4) = -2

The equation of the line in point-slope form is:
y - y1 = m(x - x1) where (x1, y1) = (-2, 4)
y - 4 = -2(x + 2)
y - 4 = -2x - 4
y = -2x

Therefore, the point (0, 0) lies on this line since y = -2x can be satisfied by setting x = 0 and y = 0.

Graph the Points (-2, 4) and (2, -4) and Draw