Question

The SLOPE of which linear function is greater?
a. (-10, -25), (-7, -16), (2, 11)
b. y = 5x + 3

Answer 1

To find the slope of the linear function in part a, we need to use the formula for calculating the slope between two points (x1, y1) and (x2, y2):

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

Using the given points in part a:

(-10, -25) and (-7, -16):
slope = (-16 - (-25)) / (-7 - (-10))
slope = (9) / (3)
slope = 3

(-7, -16) and (2, 11):
slope = (11 - (-16)) / (2 - (-7))
slope = (27) / (9)
slope = 3

Both calculations result in a slope of 3 for the linear function in part a.

The slope of the linear function in part b (y = 5x + 3) is 5.

Therefore, the linear function in part b has a greater slope (5) than the linear function in part a (3).