Question

Which functions have graphs with slopes less than -2?
(Check all that apply.)

Answer 1

Function 2

Explanation:

✔️Slope of function 1:

Slope (m) = ∆y/∆x

Using two points on the line, (0, 4) and (1, 9),

Slope (m) = (9 - 4) / (1 - 0)

Slope (m) = 5/1

Slope (m) = 5

✔️Slope of function 2:

Slope (m) = ∆y/∆x

Using the coordinates of any two given pairs form the table, (0, 1) and (1, -3):

Slope (m) = (-3 - 1) / (1 - 0)

Slope (m) = -4/1

Slope (m) = -4

✔️Slope of Function 3:

The function is given in the slope-intercept form, y = mx + b

m = slope

The function y = 2x - 5, therefore has a slope (m) of 2

Slope = 2

✔️Slope of Function 4:

Slope (m) = -1

✅Thus, the functions that has slopes less than -2 are:

Function 2: slope = -4

Function 1, 3, and 4 all have slopes that are greater than -2