A line passes through the points 4 , 6 and 15 , 24 in the xy -plane. What is the

Question

A line passes through the points 4 , 6 and 15 , 24 in the xy -plane. What is the slope of the line?

Accepted Answer

The correct answer is 18 11 . For a line that passes through the points x 1 , y 1 and x 2 , y 2 in the xy -plane, the slope of the line can be calculated using the slope formula, m = y 2 - y 1 x 2 - x 1 . It's given that a line passes through the points 4 , 6 and 15 , 24 in the xy -plane. Substituting 4 , 6 for x 1 , y 1 and 15 , 24 for x 2 , y 2 in the slope formula, m = y 2 - y 1 x 2 - x 1 , yields m = 24 - 6 15 - 4 , or m = 18 11 . Therefore, the slope of the line is 18 11 . Note that 18/11 and 1.636 are examples of ways to enter a correct answer.

Question f7d442