First, you should put the equation in slope intercept form (y = mx + b), where m is the slope. The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.
What is the perpendicular slope of 3?
Algebra Examples
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is zero.
What is the perpendicular slope of 4?
The given line has slope m = -4. Therefore the perpendicular line’s slope is (1/4), because that is the negative reciprocal of -4.
What’s a perpendicular line?
Perpendicular lines are lines that intersect at a right (90 degrees) angle.
What is the perpendicular slope of 3 4?
The slope that is perpendicular to 34 is its negative reciprocal, which is −43 . m1m2=−1 , where m1 is the given slope and m2 is the perpendicular slope.
What is the perpendicular slope of 2?
Explanation: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2.
What is the perpendicular slope of 6?
Algebra Examples
Using the slope-intercept form, the slope is Undefined. The slope of a perpendicular line to a vertical line is zero.
What is the perpendicular slope of 1 2?
Perpendicular Lines and Slopes
This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2. This is why any line that is perpendicular to this line would have slope -2 /1 = -2.
What is perpendicular to Y =- 4x?
Using the slope-intercept form, the slope is 4 4 . The equation of a perpendicular line to y=4x y = 4 x must have a slope that is the negative reciprocal of the original slope.
What is the perpendicular slope of 1 3?
If the slope of a line is 1/3,the slope of a line perpendicular to this line is -3.
What is the slope of a line perpendicular to 3x 2y 6?
To find the slope perpendicular to the above equation, the slope has to be the negative reciprocal. That means we take 3/2, flip it to become 2/3, and then make it a minus. So the slope is 3/2.
What does perpendicular look like?
Two distinct lines intersecting each other at 90° or a right angle are called perpendicular lines. Here, AB is perpendicular to XY because AB and XY intersect each other at 90°. The two lines are parallel and do not intersect each other. They can never be perpendicular to each other.
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.
How do you know if two lines are perpendicular?
Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1!
Whats the slope of a line perpendicular to 6x 3y 9?
Using the slope-intercept form, the slope is −2 .
What is the slope of a line that is perpendicular to the line y =- 6x 5?
Algebra 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 −6 – 6 . The equation of a perpendicular line to y=−6x+5 y = – 6 x + 5 must have a slope that is the negative reciprocal of the original slope.
What is the slope of a line perpendicular to Y =- 3 4x 5?
Using the slope-intercept form, the slope is 34 3 4 . The equation of a perpendicular line to y=3×4+5 y = 3 x 4 + 5 must have a slope that is the negative reciprocal of the original slope.
How do you find the slope of a parallel and perpendicular line?
The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular.
How do you find the equation of a perpendicular line that passes through a given point?
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 do you tell if a line is perpendicular with an equation?
Perpendicular lines intersect at right angles to one another. To figure out if two equations are perpendicular, take a look at their slopes. The slopes of perpendicular lines are opposite reciprocals of each other. Their product is -1!
How do you find parallel and perpendicular lines?
If two non-vertical lines that are in the same plane has the same slope, then they are said to be parallel. Two parallel lines won’t ever intersect. If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular.
