Question

Calculate the slope of the line using the given points (6,4) and (4, -1).

a) m = 7
b) m = 2/5
c) m = 5/2
d) m = 10

Answer 1

The slope of a line given two points (6,4) and (4, -1) is found by dividing the change in y by the change in x, which results in a slope (m) of 5/2.

Step-by-step explanation:

The slope of a line passing through the points (6,4) and (4, -1) is calculated using the formula for slope, which is the change in y (rise) over the change in x (run). Using these two points:

• Change in y: -1 - 4 = -5
• Change in x: 4 - 6 = -2

Thus, the slope (m) is:

m = (-5) / (-2) = 5/2

The correct answer from the given options is c) m = 5/2.