Question

Four different lines are drawn on a coordinate plane. The lines all pass through the origin, and

each line passes through one of the points listed below.
(1,0) (8,4) (2,6) (4,4)
Which of the points is on the line with the GREATEST slope?
A. (1,0)
B. (8,4)
C. (2,6)
D. (4,4)

Answer 1

The point on the line with the greatest slope is (2,6).

Step-by-step explanation:

The slope of a line can be calculated using the formula: slope = (change in y) / (change in x). In this case, we can calculate the slopes of the lines passing through the origin and each of the given points. The point with the greatest slope will have the steepest line.

Let's calculate the slopes:

• Line passing through (1,0): slope = (0 - 0) / (1 - 0) = 0/1 = 0
• Line passing through (8,4): slope = (4 - 0) / (8 - 0) = 4/8 = 1/2
• Line passing through (2,6): slope = (6 - 0) / (2 - 0) = 6/2 = 3
• Line passing through (4,4): slope = (4 - 0) / (4 - 0) = 4/4 = 1

Based on our calculations, the point on the line with the greatest slope is (2,6).