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How do I find the slope of a line that is perpendicular?

Posted on September 3, 2022 by Author

How do I find the slope of a line that is perpendicular?

The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.

What is the slope of a line that is perpendicular to the line whose equation is 2y 3x 1?

-2/3
The slope of a line that is perpendicular to the line whose equation is 2y = 3x – 1 is -2/3.

What is the slope of a line perpendicular to a vertical line?

undefined
Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a vertical line which would be undefined. The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

What is the slope of a line perpendicular to a horizontal line?

The slope of a horizontal line is 0. The slope of a line perpendicular to another line is the negative reciprocal. So you would have these 2 equations. X=0 for the slope of the horizontal line and slope=-1/x for its perpendicular.

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What is perpendicular formula?

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.

What is a perpendicular line equation?

What is the slope of a line that is perpendicular to the line whose equation is ax by C?

We will learn how to find the equation of a line perpendicular to a line. Prove that the equation of a line perpendicular to a given line ax + by + c = 0 is bx – ay + λ = 0, where λ is a constant. Let m1 be the slope of the given line ax + by + c = 0 and m2 be the slope of a line perpendicular to the given line.

What is the slope of a vertical line *?

A vertical line never moves left and right, so the run is 0. Because the quotient of a number divided by 0 is undefined, the slope of a vertical line is always undefined.

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