To find the slope of a linear function, we can use the formula:
slope = (change in y) / (change in x)
For option (a), the points are (-1, -10) and (3, 10).
change in y = 10 - (-10) = 20
change in x = 3 - (-1) = 4
slope = 20 / 4 = 5
For option (b), the points are (-8, -20), (-5, -14), and (-4, -12).
First, we calculate the slope between (-8, -20) and (-5, -14):
change in y = -14 - (-20) = 6
change in x = -5 - (-8) = 3
slope = 6 / 3 = 2
Next, we calculate the slope between (-5, -14) and (-4, -12):
change in y = -12 - (-14) = 2
change in x = -4 - (-5) = 1
slope = 2 / 1 = 2
Since the slope for option (a) is 5 and the slope for option (b) is 2, the slope of the linear function in option (a) is greater.
The SLOPE of which linear function is greater?
a. (-1, -10), (3, 10)
b. (-8, -20), (-5, -14), (-4, -12)
1 answer