Quick Answer: What Is The Perpendicular Slope Of 4?

What is the perpendicular slope of 5?

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 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. A vertical line would be perpendicular to the horizontal line, but the slope of a vertical line is undefined.

What’s the point slope formula?

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).

How do you find a perpendicular equation?

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 know if an equation is perpendicular?

Explanation: Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line. We begin by subtracting from each side, giving us .

How do you find perpendicular slope?

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 4x – 5y = –10 is m = 4/5. Therefore, the slope of the line perpendicular to this line would have to be m = –5/4. Step 2: Use the slope to find the y-intercept.

What is the slope of a line perpendicular to Y 4?

Algebra Examples 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 a slope of a line perpendicular to?

Explanation: The question puts the line in point-slope form y – y1 = m(x – x1), where m is the slope. … A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.

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 .

How can you tell if a slope is parallel or perpendicular?

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.

What is the perpendicular 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 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 a vertical line?

The slope of a line is change in Y / change in X. The slope of a horizontal line = 0, not undefined. The slope of a vertical line = 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 perpendicular slope of 1?

Perpendicular Lines and Slopes The slopes of two perpendicular lines are negative reciprocals of each other. 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.

What is the slope of Y 4?

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