24krchnnev
contestada

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?

Respuesta :

erinck

Answer:

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.

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

What is the slope?

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Given the points;

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

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

Spencer is right because, the slope 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

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

Learn more about slope here:

https://brainly.com/question/2503591

#SPJ2

Otras preguntas