Question

A student must find the slope of a line that passes through the points (2, 2) and (–1, 3). Which of the statements below best applies to the sample mathematical work?

Answer 1

Use the formula y=mx+b to find m you have to do y2-y1/x2-x1

Explanation:

Answer 2

A statement that best applies to the sample mathematical work is: B. the student failed to plug in the proper values into the slope formula.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

By substituting the given data points (2, 2) and (-1, 3) into the formula for the slope of a line, the required slope is given by;

Slope (m) = (3 - 2)/(-1 - 2)

Slope (m) = 1/-3

Slope (m) = -1/3

Complete Question:

A student must find the slope of a line that passes through the points (2, 2) and (-1, 3). Which of the statements below best applies to the sample mathematical work?

Given the points above, I plug these values into the formula
`(y_2-y_1)/(x_2-x_1)` which yields the expression
`(-1-2)/(3-2)`, which gives a slope of -3.

А. the formula for the slope of the line is incorrect

B. the student failed to plug in the proper values into the slope formula

C the numeric calculation to find the slope is incorrect

D. the mathematical work shown is correct