Table of Contents
- 1 How do you find a perpendicular line that passes through the origin?
- 2 What line passes through the origin?
- 3 How are lines KL and MN related the lines intersect at point K?
- 4 How to find the equation of a perpendicular line?
- 5 How do you find the slope of line P?
- 6 What is the slope of the line y = -2x + 5?
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.
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. 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.
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.