Line Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium

Find the slope of the line passing through points

(1, 3)

and

(4, 9)

Solution

1
Step 1: The slope formula is $m = \dfrac{y_2 - y_1}{x_2 - x_1}$ .
2
Step 2: Substitute $(x_1, y_1) = (1, 3)$ and $(x_2, y_2) = (4, 9)$ .
3
Step 3: $m = \dfrac{9 - 3}{4 - 1} = \dfrac{6}{3} = 2$ .

Answer

m = 2

Slope measures how steeply a line rises or falls. A slope of 2 means for every 1 unit moved right, the line rises 2 units. Two points uniquely determine a line in 2D space.

About Line

A perfectly straight path extending infinitely in both directions through two distinct points, with no thickness.

Learn more about Line →

More Line Examples

Example 1 easy

Write the equation of a line with slope [formula] and y-intercept [formula].

Example 3 easy

What is the slope of a horizontal line? What is the slope of a vertical line?

Example 4 hard

Line [formula]: [formula]. Line [formula]: [formula]. Are these lines perpendicular? Justify your an

← All Line Examples Line Concept

Related Concepts

Point Plane