Graph the points (-2, 4) and (2, -4) and draw a straight line that passes through both of them. Does the graph of (1, - 2) 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 (1, - 2) lie on this line? 
A) No 
B) Yes

Quizplus · Accepted Answer

To graph the points (-2, 4) and (2, -4), we plot them on a coordinate plane and draw a straight line passing through them.
 
The slope of this line can be calculated as:
slope = (change in y-coordinate)/(change in x-coordinate)
slope = (-4-4)/(2-(-2))
slope = -8/4
slope = -2

Using the slope-intercept form of a line, we can find the equation of this line as:
y = mx + b, where m is the slope and b is the y-intercept.
Using the point (-2, 4):
4 = (-2)(-2) + b
b = 0
Therefore, the equation of the line is:
y = -2x

To check if the point (1, -2) lies on this line, we substitute x=1 and y=-2 in the equation of the line:
-2 = -2(1)
-2 = -2
This is true, so the point (1, -2) lies on the line. Therefore, the answer is B.

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