# How to find the slope of a perpendicular line?

In this guide, you will get an answer to your question How to find the slope of a perpendicular line? Here I will also provide an explanation and example. Keep reading to know more.

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## How to find the slope of a perpendicular line?

To find the slope of a perpendicular line, you can use the **slope formula: m = (y2-y1)/(x2-x1)**. In this case, you would plug in the coordinates of two points on the line that you want to find the slope of, such as (0,3) and (1,-1). This would give you the slope of the perpendicular line.

The slope of perpendicular lines is negative reciprocal of each other. This means that if one line has a slope of 2, the slope of its perpendicular line would be -1/2.

To find the slope of a line, you need to find the rise and the run. The rise is the vertical distance between two points, and the run is the horizontal distance between two points. To find the slope of a line, you divide the rise by the run.

For example, if the rise is 3 and the run is 2, the slope would be 3/2, or 1.5.

### The formula for Slope of Perpendicular Lines

If the lines are perpendicular, then the slope of the lines will be opposite reciprocals of each other. For example, if one line has a slope of 2, then the slope of the perpendicular line will be 1/2.

To find the slope of a line, you can use the slope formula:

**slope =(y2-y1)/(x2-x1)**

where (x1,y1) and (x2,y2) are points on the line.

If you have two points on a line, you can use the slope formula to calculate the slope.

For example, let’s say you have points (1,2) and (3,6). The slope would be:

slope = (6-2)/(3-1)

next slope = 4/2

slope = 2

Therefore, the slope of the line is 2.

Now, let’s say you have points (1,2) and (3,5). The slope would be:

slope = (5-2)/(3-1)

then slope = 3/2

slope = 1.5

Therefore, the slope of the line is 1.5.

You can use the slope formula to calculate the slope of any line, as long as you have two points on the line.

## How do you graph a line with a slope of 3 and y-intercept of 2?

To graph a line with a slope of 3 and y-intercept of 2, you would first plot the y-intercept at (0,2). Then, using the slope formula, you would calculate the x-coordinate of the second point using the formula: x = (y-b)/m. In this case, y would be the y-coordinate of the second point, b would be the y-intercept (2), and m would be the slope (3). This would give you an x-coordinate of 1. So, the second point would be (1,5). You would then connect these two points with a line.

### What is the slope of the line perpendicular to the line represented by the equation y = -2x+3?

The slope of the line perpendicular to the line represented by the equation y = -2x+3 would be 2.

This can be verified by using the slope formula: m = (y2-y1)/(x2-x1). In this case, we would plug in the coordinates of two points on the line y = -2x+3, such as (0,3) and (1,-1). This would give us a slope of 2.