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?

Spencer

Step-by-step explanation:

The points are (3,-1) and (5,4) to find slope, you subtract the two y and x points  and divide or put it into a fraction.

The equation for the numerator would be 4-(-1). The negatives cancel out, so the equation is actually 4+1, which is 5.

The equation for the denominator is 5-3, which is 2.

The slope would be 5/2, and Spencer did that work, so Spencer is correct.

Spencer is correct

Step-by-step explanation:

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

rx and sx

step-by-step explanation:

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17