Question

Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below.

Let (x2, y2) be (–7, 4) and (x1, y1) be (2, –3).

m = m equals StartFraction x 2 minus x 1 over y 2 minus y 1.

= Equals StartFraction negative 7 minus 2 Over 4 minus negative 3.

= Equals negative StartFraction 9 Over 7.

The slope is Negative StartFraction 9 Over 7 EndFraction..

What error did she make?

A) She simplified the denominator incorrectly. The denominator simplifies to –7.

B) She labeled the points incorrectly. The point (–7, 4) should be (x1, y1).

C)She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.

D) She used an incorrect formula. The formula should be the sum of the x-values with respect to the sum of the y-values.

Answer 1

Answer:

C)She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.

Step-by-step explanation:

When finding the slope of a line, the formula is rise over fall.This means the change in y divided by the change in x

Given that x₁y₁ is (2,-3) and x₂,y₂ is (-7,4) then

The change is y, Δy = (y₂-y₁) = (4--3) = 7

The change is x, Δx = (x₂-x₁) = (-7-2)= -9

The slope is - 7/9 and not -9/7

Answer 2

Answer:

the answer is C: She used an incorrect formula. The formula should be the change in y-values with respect to the change in the x-values.

Step-by-step explanation:

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