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# 10 Examples of Slope

October 9, 2023 written by Rida Mirza

Slope is a fundamental concept in mathematics that measures the steepness of a line or the rate of change between two variables.

In this article, we will discuss ten examples of slope in mathematics.

## Examples of Slope

These are 10 examples of slope.

### Example: 1

Find the slope of the line passing through (2,5) and (6,11).

Slope = (y2 – y1)/(x2 – x1) = (11 – 5)/(6 – 2) = 6/4 = 3/2

### Example: 2

Find the slope of the line passing through (-3,4) and (1,0).

Slope = (y2 – y1)/(x2 – x1) = (0 – 4)/(1 – (-3)) = -4/4 = -1

### Example: 3

Find the slope of the line passing through (1,-3) and (4,5)

Slope = (y2 – y1)/(x2 – x1) = (5 – (-3))/(4 – 1) = 8/3

### Example: 4

Find the slope of the line passing through (5,2) and (-2,-3).

Slope = (y2 – y1)/(x2 – x1) = (-3 – 2)/(-2 – 5) = -5/-7 = 5/7

### Example: 5

Find the slope of the line passing through (3,2) and (3,7).

Slope = (y2 – y1)/(x2 – x1) = (7 – 2)/(3 – 3) = 5/0 (undefined)

### Example: 6

Find the slope of the line 2x + 3y = 6. Slope is the coefficient of x. Slope = -2/3

### Example: 7

Find the slope of the line y = 3x – 2. Slope is the coefficient of x. Slope = 3

### Example: 8

Find the slope of the line passing through (0,4) and (6,10).

Slope = (y2 – y1)/(x2 – x1) = (10 – 4)/(6 – 0) = 6/6 = 1

### Example: 9

Find the slope of the line passing through (1,5) and (7,3).

Slope = (y2 – y1)/(x2 – x1) = (3 – 5)/(7 – 1) = -2/6 = -1/3

### Example: 10

Find the slope of the line passing through (-5,8) and (-1,2).

Slope = (y2 – y1)/(x2 – x1) = (2 – 8)/(-1 – (-5)) = -6/4 = -3/2

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