Asked by b
The SLOPE of which linear function is greater?
a. (-10, -25), (-7, -16), (2, 11)
b. y = 5x + 3
a. (-10, -25), (-7, -16), (2, 11)
b. y = 5x + 3
Answers
Answered by
GPT 3.5
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).
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).