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

Divide 8 8 by 2 2 . Reorder 4 4 and 3×2 3 x 2 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 32 .

Which equations represent the line that is perpendicular to the line?

For a line to be perpendicular to this line, the slope will be the negative inverse of 2x. If we start with line y=mx+b a line perpendicular to this would be y = – 1/m x + b. Since our line is y = 2x – 3.5, our perpendicular line will be y = – 1/2x +b.

How do you solve a perpendicular bisector?

A straightforward way of finding a perpendicular bisector is to measure a line segment that you need to bisect. Then divide the measured length by two in order to find its midpoint. Draw a line out from this midpoint at a 90 degrees angle.

What is the equation of the line that is perpendicular to the line defined by the equation 2y 3x 5 and goes through the point 3 2 )?

About this tutor › The line 2y = 3x-5 has slope 3/2. So, any line perpendicular to it has slope -2/3. Thus, using the point-slope form of the line, our equation is. y+1 = -2/3 (x+2)

What is the slope of the line that is perpendicular to the line whose equation is 2x y 4?

1/2
Answer: The slope of the line that is perpendicular to the line 2x + y = 4 is 1/2.

How to find the equation of a perpendicular line with two points?

Before you calculate the equation of the perpendicular line, you will need to find the slope of the line that crosses the two points. The equation for finding the slope of a line with two points is m = y 2 − y 1 x 2 − x 1 {\\displaystyle m={\\frac {{y^{2}}-{y^{1}}}{{x^{2}}-{x^{1}}}}} .

How do you find the equation of a line with one point?

The first way is to solve for the equation of a line with one point and the equation of a line that runs perpendicular to it. The second way is to use two points from one line and one point from a perpendicular line. If a line runs perpendicular to another line, it means that it crosses it at a right angle.

How to find the slope of a perpendicular line in slope intercept form?

First, put the equation of the line given into slope-intercept form by solving for y. You get y = -2 x +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 = 1/2 x + b and solving for b, we get b = 6.

How to find the y-intercept of a line?

Solving with One Point and an Equation Download Article 1 Simplify the equation of the line. 2 Calculate the opposite reciprocal of the slope. When a line is perpendicular to another line, the slope will be the… 3 Plug the point into the slope equation to find the y-intercept. Now that you have the slope of the perpendicular… More