Question

Abigail and Spencer calculate the slope of the line between the points (3,-1) and (5,4) in different ways. Abigail calculates the slope by dividing -1 - 4 with 3 - 5. Spencer divides 4 - (-1) by 5 - 3. When they check their work with their mutual friend Lauren, she says that they are both wrong and shows them her work. She calculates -1 - 4 and divides by 5 - 3. Who is correct among these three friends? Who is incorrect? Why? I need help because there is two answers! One is Spencer

Answer 1

Spencer

Explanation:

Given the points :

(3,-1) and (5,4)

x1 = 3 ; x2 = 5 ; y1 = - 1 ; y2 = 4

Spencer is right because, te slope or gradient of a line is obtained thus ;

Slope = change in y / change in x

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

Slope = (4 - (-1)) / (5 - 3)

Slope = (4 + 1) / 2

Slope = 5 / 2

Hence, slope = 2.5