Question

If a line is formed using the ordered pairs (-4,5) and (6,1) , what is the slope of the line?

Answer choices
A. -2
B. 5/2
C -2/5
D 3.4

Answer 1

The slope of the line passing through (-4,5) and (6,1) is calculated using the formula for slope (y2 - y1) / (x2 - x1). The computation results in a slope of -2/5, matching option C for the correct answer.

Step-by-step explanation:

The slope of a line passing through two points can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Given the ordered pairs (-4,5) and (6,1), we can label these points as (x1, y1) and (x2, y2) respectively. Then, we substitute the values into the slope formula to find the slope of the line:

m = (1 - 5) / (6 - (-4))

m = (-4) / (10)

m = -2/5

Therefore, the slope of the line formed by the ordered pairs is -2/5, which corresponds to option C.