QuestionFill in the blanks below.
Find the slope of the line passing through the points $(-7,-3)$ and $(5,-3)$ . slope: $\square$
Find the slope of the line passing through the points $(3,9)$ and $(3,-6)$ . slope: $\square$

Studdy Solution

STEP 1

1. The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is calculated using the formula: $ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
2. We are given two pairs of points and need to find the slope for each pair.

STEP 2

1. Calculate the slope for the first pair of points $(-7, -3)$ and $(5, -3)$ .
2. Calculate the slope for the second pair of points $(3, 9)$ and $(3, -6)$ .

STEP 3

Calculate the slope for the first pair of points $(-7, -3)$ and $(5, -3)$ .
Using the formula: $\text{slope} = \frac{-3 - (-3)}{5 - (-7)}$
Simplify the equation: $\text{slope} = \frac{-3 + 3}{5 + 7} = \frac{0}{12} = 0$
The slope of the line passing through the points $(-7, -3)$ and $(5, -3)$ is: $\boxed{0}$

STEP 4

Calculate the slope for the second pair of points $(3, 9)$ and $(3, -6)$ .
Using the formula: $\text{slope} = \frac{-6 - 9}{3 - 3}$
Simplify the equation: $\text{slope} = \frac{-15}{0}$
Since division by zero is undefined, the slope of the line passing through the points $(3, 9)$ and $(3, -6)$ is: $\boxed{\text{undefined}}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms