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

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

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 perpendicular line to?

negative reciprocals
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.

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What is the slope perpendicular to the Y-axis?

Since the Y-axis is vertical, a line perpendicular to it would be horizontal.. The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.

How do you find the slope and y intercept of a perpendicular line?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2x +5, so the slope is –2. 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.

What is the slope of a line perpendicular to Y =- 2?

As we know, the slope of the line Y= -2 is zero. So the slope of a line perpendicular to Y= -2 is 90 degree.

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What is the perpendicular slope to 1 3?

−3
The slope of a line perpendicular to one with the slope of 13 is −3 .

What is the slope of a line perpendicular to the line y =- 1 4x 1?

Using the slope-intercept form, the slope is 4 .

What is the slope of a line that is perpendicular to the line y =- 1 3x 6?

Using the slope-intercept form, the slope is −13 . The equation of a perpendicular line to Y=−X3−6 Y = – X 3 – 6 must have a slope that is the negative reciprocal of the original slope.

How do you find perpendicular to y-axis?

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

What is the slope of a line perpendicular to the line y − 1 4x 1?

Do perpendicular lines have the same slope?

Perpendicular lines do not have the same slope. The slopes of perpendicular lines are different from one another in a specific way. The slope of one line is the negative reciprocal of the slope of the other line. The product of a number and its reciprocal is 1.

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How do you find the slope of a perpendicular line?

Choose a point that the perpendicular line will pass through. Use the slope-intercept form to find the slope. Tap for more steps… The slope-intercept form is y = m x + b y = m x + b, where m m is the slope and b b is the y-intercept.

How to find the slope using the slope intercept form?

Use the slope-intercept form to find the slope. Tap for more steps… The slope-intercept form is y = m x + 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 2 2.

What is the Y-Y value at x = 2x = 2?

The final answer is − 3 – 3. The y y value at x = 2 x = 2 is − 3 – 3. Create a table of the x x and y y values. Graph the line using the slope and the y-intercept, or the points.