QuestionFind the slope of the line graphed below.

Studdy Solution

STEP 1

1. The slope of a line is defined as the change in $y$ over the change in $x$ between two points on the line.
2. We are given two points on the line: $(-4, 3)$ and $(3, -4)$ .

STEP 2

1. Identify the coordinates of the two points.
2. Use the slope formula to calculate the slope.
3. Simplify the expression to find the slope.

STEP 3

Identify the coordinates of the two points on the line. We have: - Point 1: $(-4, 3)$ - Point 2: $(3, -4)$

STEP 4

Use the slope formula, which is given by:
$m = \frac{y_2 - y_1}{x_2 - x_1}$
where $(x_1, y_1)$ and $(x_2, y_2)$ are the coordinates of the two points.

STEP 5

Substitute the coordinates of the points into the slope formula:
$m = \frac{-4 - 3}{3 - (-4)}$

STEP 6

Simplify the expression:
$m = \frac{-7}{3 + 4}$
$m = \frac{-7}{7}$

STEP 7

Further simplify to find the slope:
$m = -1$

STEP 8

The slope of the line is:
$\boxed{-1}$

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