Question

On a test, when a student gets full credit for an essay and answers 13 questions correctly, the student’s test score is 77. When a student gets full credit for an essay and answers18 questions correctly, the student’s test score is 97. Assume the relationship is linear.

A line models the relationship between the number of questions correctly answered, x, and the test score, y. What is the slope of the line

- I cannot seem to get this one.

Answer 1

@iGreen

Answer 2

To find the slope between two points, use the slope formula: \(m = \dfrac{y_2-y_1}{x_2-x_1}\).

Here your two points are (13, 77) and (18, 97).

Answer 3

(13, 77) and (18, 97)

\(y_2 = 97\)
\(y_1 = 77\)

\(x_2 = 18\)
\(x_1 = 13\)

Plug these terms in:

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

\(m = \dfrac{97-77}{18-13}\)

Subtract:

\(m = \dfrac{20}{5}\)

\(m = 4\)

So the slope is 4.