# The formula and the value of slope of line passing through two points.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.10, Problem 1E
To determine

## To evaluate: The formula and the value of slope of line passing through two points.

Expert Solution

The formula of slope of line is defines as two points by dividing the difference in the y-coordinates of these points by the difference in the x-coordinates and the slope of line passing through two given points is 2.

### Explanation of Solution

Given:

Two points of line are (0,1) and (2,5) .

Formula used:

Formula of slope of line passing through two points is, m=y2y1x2x1

Calculation:

Section1:

The formula of slope of line is defines as two points by dividing the difference in the y-coordinates of these points by the difference in the x-coordinates.

In the above formula, y2y1 is the difference of y-coordinates of two points and x2x1 is the difference of x-coordinates of two points.

Thus, the formula of slope of line is defines as two points by dividing the difference in the y-coordinates of these points by the difference in the x-coordinates.

Section2:

Substitute 5 for y2 , 1 for y1 , 2 for x2 and 0 for x1 in the above formula to get the value of slope,

m=5120=42m=2

Thus, the slope of line passing through two given points is 2.

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