Question

What is the slope of the line that passes through the points (9, 5) and (21,-5)? Write your

answer in simplest form.
Answer Attempt 2 out of 2
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Answer 1

To find the slope of the line that passes through the points (9, 5) and (21, -5), we can use the formula for slope:

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

Let's calculate the change in y and change in x:

Change in y = -5 - 5 = -10

Change in x = 21 - 9 = 12

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

slope = (-10) / 12

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2:

slope = (-10/2) / (12/2)

slope = -5/6

Therefore, the slope of the line that passes through the points (9, 5) and (21, -5) is -5/6.

Explanation: