Question: What Is The Slope Of A Line Perpendicular To Y =- 2?

What equation is perpendicular to Y 2?

First, put the equation of the line given into slope-intercept form by solving for y.

You get y = -2x +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 = 1/2x + b and solving for b, we get b = 6..

What is the slope of any parallel line?

The slope of the parallel line is 0 and the slope of the perpendicular line is undefined.

What is the equation of the line that passes through 2 3 and is perpendicular to 2x 3y 6?

What line is perpendicular to the line 2x + 3y = 6 through (4, 1)? Explanation: The given equation is in standard form, so it must be converted to slope-intercept form: y = mx + b to discover the slope is –2/3. To be perpendicular the new slope must be 3/2 (opposite reciprocal of the old slope).

How do you find the y intercepts?

To find the x-intercept of a given linear equation, plug in 0 for ‘y’ and solve for ‘x’. To find the y-intercept, plug 0 in for ‘x’ and solve for ‘y’.

What is the slope of a line perpendicular to the line y 6?

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

What is the slope of a line perpendicular to 5?

Correct answer: Explanation: 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 negative 2?

The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.

How do you know if two lines are perpendicular by slope?

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.

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 .

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 equation of the line that is perpendicular to the line y 6 Brainly?

The line y=6 is a horizontal line through the point (0,6) on the y-axis. A line perpendicular to it will be vertical and through the x-axis. This means its equation will be x=a where a is the x-coordinate. Since it must pass through the point (-4,-3) then the equation is x = -4.

How do you do slope intercept form?

Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

What is the slope of a line that is perpendicular to the line y =- 6x 5?

Using the slope-intercept form, the slope is −6 – 6 .

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 is the slope of two perpendicular lines?

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.

How do you determine the slope of a line?

Using the Slope Equation Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

What is the slope of a line that is parallel to the line 2y 3x 5?

Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 32 . All lines that are parallel to y=3×2+52 y = 3 x 2 + 5 2 have the same slope of 32 .

What is the slope of 0?

A zero slope is just the slope of a horizontal line! The y-coordinate never changes no matter what the x-coordinate is! In this tutorial, learn about the meaning of zero slope.

How do you find the slope of a perpendicular line to a 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.

How do you know if a slope is perpendicular?

If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .

What equation is perpendicular to Y 5?

Using the slope-intercept form, the slope is 0 0 . The equation of a perpendicular line to y=5 must have a slope that is the negative reciprocal of the original slope. The negative reciprocal of 0 is −10 , which is ∞ . Since the slope for the perpendicular line is ∞ , the line is perpendicular to the x-axis.