Without graphing, tell whether the slope of a line that models the linear relationship is positive, negative, zero, or undefined. Then find the slope.

Question

Without​ graphing, tell whether the slope of a line that models the linear relationship is​ positive, negative,​ zero, or undefined. Then find the slope.
a student earned a 90 on a test for answering one question incorrectly and earns a 60 for answering four questions incorrectly

GPT 3.5 · Answer

To determine the slope, we can use the formula:

slope = (change in y) / (change in x)

In this case, the y-values represent the test scores, and the x-values represent the number of questions answered incorrectly.

Given that the student earned a 90 for answering one question incorrectly and a 60 for answering four questions incorrectly, we can calculate the change in y:

(change in y) = 90 - 60 = 30

Similarly, we can calculate the change in x:

(change in x) = 1 - 4 = -3

Now, we can substitute these values into the slope formula:

slope = (change in y) / (change in x) = 30 / (-3)

Simplifying, we find:

slope = -10

The slope of the line that models this linear relationship is negative (-10).

Without​ graphing, tell whether the slope of a line that models the linear relationship is​ positive, negative,​ zero, or undefined. Then find the slope.

Without graphing, tell whether the slope of a line that models the linear relationship is positive, negative, zero, or undefined. Then find the slope.