Table of Contents

## What is the slope of a line that is perpendicular to the graph?

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.

## What is the slope of a line perpendicular to Y 3x?

Algebra Examples Using the slope-intercept form, the slope is 3 3 . The equation of a perpendicular line to y=3x y = 3 x must have a slope that is the negative reciprocal of the original slope.

## What is the perpendicular slope of 5?

Perpendicular lines have slopes that are negative reciprocals of one another. The given line’s slope is 5, which means that the slope of the other line must be its negative reciprocal. The negative reciprocal of 5 is .

## What is the slope of a line perpendicular to the line whose equation is y 3x 4?

The slope of the given line is 3. Therefore, the slope of the line that is perpendicular to the given line is -1/3.

## What is the slope of any parallel line?

The slope of the parallel line is undefined and the slope of the perpendicular line is 0.

## How do you determine the slope of a line?

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

## How do I find the slope of the line?

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

## What is the slope of a line that is perpendicular to Y 2 3x 7?

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 23 2 3 . The equation of a perpendicular line to y=2×3+7 y = 2 x 3 + 7 must have a slope that is the negative reciprocal of the original slope.

## What is the slope of a line perpendicular to Y =- 7 4x?

Using the slope-intercept form, the slope is −74 . The equation of a perpendicular line to y=−7×4 y = – 7 x 4 must have a slope that is the negative reciprocal of the original slope. Simplify the result. Cancel the common factor of 1 1 and −1 – 1 .

## What is the slope of a line that is perpendicular to the line y 2x 6?

Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x+6 y = 2 x + 6 must have a slope that is the negative reciprocal of the original slope.

## What is the slope of any parallel line 9x 4y 7?

Using the slope-intercept form, the slope is −94 . All lines that are parallel to y=−9×4+74 y = – 9 x 4 + 7 4 have the same slope of −94 .

## What is the slope of a 45 degree line?

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The line that forms a 45 degree angle has a slope that is exactly 1. An uphill line (from left to right) is always a positive slope.