QuestionCalculate the slope of the line through points $(-2,1)$ and $(2,2)$ . Note if it's vertical or horizontal.

Studdy Solution

STEP 1

Assumptions1. We have two points on the line $(-,1)$ and $(,)$ . The slope of a line passing through two points $(x1, y1)$ and $(x, y)$ is given by the formula $m = \frac{y - y1}{x - x1}$ 3. If the denominator in the slope formula is zero, the slope is undefined and the line is vertical.
4. If the numerator in the slope formula is zero, the slope is zero and the line is horizontal.

STEP 2

First, let's identify our points. We'll call $(-2,1)$ as point1 and $(2,2)$ as point2. So, we have $x1 = -2$ , $y1 =1$ , $x2 =2$ , and $y2 =2$ .

STEP 3

Now, we can substitute these values into the slope formula.
$m = \frac{y2 - y1}{x2 - x1} = \frac{2 -1}{2 - (-2)}$

STEP 4

implify the expression in the numerator and the denominator.
$m = \frac{1}{4}$ So, the slope of the line passing through the points $(-2,1)$ and $(2,2)$ is $\frac{1}{4}$ .

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