Table of Contents
- 1 What is an equation of a line that is perpendicular to 2y 3x 1?
- 2 What will be the slope of the line perpendicular to the line 6x 3y 16 0?
- 3 Which equation represents the line that passes through the point (- 2 2 and is parallel to Y 1 2x 8?
- 4 What is the equation and slope of line passing through 5 and 2 3?
- 5 How to find the slope of a perpendicular line in slope intercept form?
- 6 What is the definition of a perpendicular line?
What is an equation of a line that is perpendicular to 2y 3x 1?
-2/3
So the slope of the perpendicular line is the reciprocal of 3/2 which is multiplied by -1. Therefore, the slope of a line that is perpendicular to the line whose equation is 2y = 3x – 1 is -2/3.
What will be the slope of the line perpendicular to the line 6x 3y 16 0?
The best explanation: For two lines to be perpendicular the product of their slopes should be equal to -1. So as the slope of given line is 2 so the slope of line perpendicular to it will be -1/2.
What is the slope of the line perpendicular to the line passing through the points?
lines that are perpendicular: the products of their slopes is −1 . One slope is the negative reciprocal of the other. (This means flip it and change the sign.)
Which equation represents the line that passes through the point (- 2 2 and is parallel to Y 1 2x 8?
The equation that represents the line that passes through the point (-2, 2) and is parallel to y = 1/2 x + 8 is y = 1/2 x + 3.
What is the equation and slope of line passing through 5 and 2 3?
Answer: The equation of the line passing through the points (2,3) and (-1,0) is y = x + 1 or y – x = 1.
How do you find the equation of a perpendicular line?
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. Rearranged, it is –x/2 + y = 6.
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.
What is the definition of a perpendicular line?
The definition of a perpendicular line is one that has a negative, reciprocal slope to another. For this particular problem, we must first manipulate our initial equation into a more easily recognizable and useful form: slope-intercept form or. According to our formula, our slope for the original line is.
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.