Graph the points (4, 3) and (-4, -1) and draw a straight line that passes through both of them. Does the graph of (2, 2) lie on this line?

Question

Quizplus · Accepted Answer

The slope of the line passing through (4,3) and (-4,-1) is:

m = (3 - (-1)) / (4 - (-4))

m = 4/8

m = 1/2

Using the point-slope form of a line, the equation of the line passing through (4,3) and (-4,-1) can be written as:

y - 3 = (1/2)(x - 4)

Simplifying the equation, we get:

y = (1/2)x - 1/2

To check if (2,2) lies on this line, we substitute x = 2 and y = 2 in the equation:

2 = (1/2)(2) - 1/2

2 = 0 - 1/2

2 ≠ -1/2

Therefore, (2,2) does not lie on the line passing through (4,3) and (-4,-1).

Graph the Points (4, 3) and (-4, -1) and Draw