When lines are perpendicular, one slope is the negative reciprocal of the other. In y=6x the gradient is 6 .
What equation is perpendicular to Y 6x 2?
The slope-intercept form is y=mx+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 6 6 . The equation of a perpendicular line to y=6x−2 y = 6 x – 2 must have a slope that is the negative reciprocal of the original slope.
What is perpendicular to x6?
Since x=6 is a vertical line, the slope is undefined. The perpendicular line is horizontal and the slope is 0 .
What is the slope of the line that is perpendicular to Y 6?
Precalculus Examples
The slope-intercept form is y=mx+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 0 0 . The perpendicular line is vertical and the slope is undefined .
What is the perpendicular slope of 6?
The slope of a perpendicular line to a vertical line is zero .
Is Y 6x 2 perpendicular?
1 Expert Answer
For example, if the slope of one line is -2, then the slope of the other (perpendicular) line is 1/2. In this case y = -6x+2. The slope is – 6 . So the slope of the line perpendicular to the given line is 1/6.
What is the slope of a line parallel to the line with equation 5x − 2y 11?
Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5×2−112 y = 5 x 2 – 11 2 have the same slope of 52 .
How do you know if two lines are perpendicular?
Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .
What slope is perpendicular?
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 horizontal line which would be 0 . The slope of the parallel line is undefined and the slope of the perpendicular line is 0.
How do you solve perpendicular lines?
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 = 1⁄2x + 6 . Rearranged, it is –x/2 + y = 6.
What is the slope of a line perpendicular to Y 5x 6?
Algebra Examples
Using the slope-intercept form, the slope is 5 5 .
What is the slope of a line perpendicular to 3 2?
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 is the slope of a line that is perpendicular to the line y 1 6X 4?
Using the slope-intercept form, the slope is 16 . The equation of a perpendicular line to y=x6+4 y = x 6 + 4 must have a slope that is the negative reciprocal of the original slope.
What is the slope of a line perpendicular to Y =- 7 4x?
Using the slope-intercept form, the slope is −74 . The equation of a perpendicular line to y=−7×4 y = – 7 x 4 must have a slope that is the negative reciprocal of the original slope.
Which line is perpendicular to a line that has a slope of?
Perpendicular lines have negative reciprocal slopes. That means the fraction is flipped and multiplied by negative 1. So if one line has a slope of 3/5, then a line perpendicular to it has a slope of -5/3 .
What is the perpendicular slope of 4?
Solution: The given line has slope m = -4. Therefore the perpendicular line’s slope is (1/4) , because that is the negative reciprocal of -4.
