How do you find a perpendicular line that passes through the origin?

How do you find a perpendicular line that passes through the origin?

If the line passes through the origin, then you know that (0,0) is on the line. If the line is perpendicular to y=2x+3 then we know the line has slope m=−0.5. This is the negative reciprocal of the slope. The solution can be obtained by solving y=−0.5x+b using the information given.

What line passes through the origin?

The slope intercept form is y = mx + b, where b is the y-intercept. In the equation y = 2x – 1, the y-intercept is -1. So, if you have an equation like y = 4x, there is no “b” term. Therefore, the y-intercept is zero, and the line passes through the origin.

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Which line is perpendicular?

Perpendicular lines are lines that intersect at right angles. The slope of the line with equation y=3x+2 is 3 . If you multiply the slopes of two perpendicular lines, you get −1 .

How are lines KL and MN related the lines intersect at point K?

How are lines KL and MN related? The lines intersect at point K. The lines are parallel. Therefore, parallel lines have the same slopes.

How to find the equation of a perpendicular line?

Example Question #1 : How To Find The Equation Of A Perpendicular Line The equation of line p is  y= 1/4x +6.   If line k contains the point (3,5) and is perpendicular to line p, find the equation of line k. Possible Answers: y = 3x + 5 y = 1/4x + 17 y = -4x + 17 y = 4x – 17 Correct answer:

How to find the slope of a perpendicular line in slope intercept form?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2 x +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 = 1/2 x + b and solving for b, we get b = 6.

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How do you find the slope of line P?

The equation of line p is y= 1/4x +6. If line k contains the point (3,5) and is perpendicular to line p, find the equation of line k. Using the slope intercept formula, we can see the slope of line p is ¼.

What is the slope of the line y = -2x + 5?

You get y = -2 x +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 = 1/2 x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½ x + 6. Rearranged, it is – x /2 + y = 6.