What Is The Slope Of A Perpendicular Line?

What is the slope of a line perpendicular to Y =- 2?

Using the slope-intercept form, the slope is 0 0 .

The perpendicular line is vertical and the slope is undefined..

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.

What is the slope of a line perpendicular to Y =- 1 4x 1?

Using the slope-intercept form, the slope is 14 1 4 . The equation of a perpendicular line to y=x4−1 y = x 4 – 1 must have a slope that is the negative reciprocal of the original slope.

How do you know if its parallel/perpendicular or neither?

We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.

What is the slope of a line that is perpendicular to the line 2y 3x 8?

Using the slope-intercept form, the slope is 32 . The equation of a perpendicular line to y=3×2+4 y = 3 x 2 + 4 must have a slope that is the negative reciprocal of the original slope.

What is the slope for a line that is perpendicular to the line y 4x 8?

So, a perpendicular line would have a slope of -1/4.

What is the perpendicular of a slope?

Put this together with the sign change, and you get that the slope of a perpendicular line is the “negative reciprocal” of the slope of the original line — and two lines with slopes that are negative reciprocals of each other are perpendicular to each other.

How do I find the slope of the line?

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

What is the slope of a line that is perpendicular to the line y 1?

The line y=−1 has slope 0 so any line perpendicular to it will have undefined slope.

What is the perpendicular slope of 0?

The slope of a line perpendicular to a line with a slope of 0 is undefined. The perpendicular line is a vertical line. A line with a slope of 0 is a horizontal line.

What is the slope of a horizontal line?

Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.

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 slope of the line 1 3?

Using the slope-intercept form, the slope is 0 .

How do you find the slope of a perpendicular line?

To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 8x + 6y = 15 is m = –4/3. Therefore, the slope of the line perpendicular to this line would have to be m = 3/4. Step 2: Use the slope to find the y-intercept.

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. Finished.

How do you know if a slope is parallel?

Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other. Here is a quick review of the slope/intercept form of a line.

What is the slope of line PQ?

The slope of line PQ is undefined.

How do you know if two slopes 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!

Which line is perpendicular to a line that has a slope of 1 3?

1 Answer. Daniel L. The slope of a line perpendicular to one with the slope of 13 is −3 .

What is the slope of a line perpendicular to 5?

Correct answer: Perpendicular lines have slopes that are negative reciprocals of one another. The given line’s slope is 5, which means that the slope of the other line must be its negative reciprocal. The negative reciprocal of 5 is .

What is the perpendicular line of?

The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is , this means that the slope of its perpendicular line would be .