The SLOPE of which linear function is greater?

Question

a. (-10, -14), (-5, -9), (-2, -6)
b. (3, 10), (-1, -10)

Answer 1

To find the slope of the linear function, we use the formula:

slope = (y2 - y1) / (x2 - x1)

a. For points (-10, -14), (-5, -9), (-2, -6):
slope1 = (-9 -(-14)) / (-5 -(-10)) = 5 / 5 = 1
slope2 = (-6 -(-9)) / (-2 -(-5)) = 3 / 3 = 1

b. For points (3, 10), (-1, -10):
slope = (-10 - 10) / (-1 - 3) = -20 / -4 = 5

Therefore, the SLOPE of the linear function in b. (3, 10), (-1, -10) is greater than in a. (-10, -14), (-5, -9), (-2, -6).