# Write an equation perpendicular to the given line through the given point

Slopes of parallel and perpendicular lines Video transcript - [Instructor] Find the equation of a line perpendicular to this line that passes to the point two comma eight. So this first piece of information that it's perpendicular to that line right over there. What does that tell us? Well if it's perpendicular to this line, it's slope has to be the negative inverse of two-fifths. Parallel Lines and Their Slopes In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts.

Perpendicular Lines and Their Slopes In other words, perpendicular slopes are negative reciprocals of each other. If you need more of a review on how to use this form, feel free to go to Tutorial This form can be handy if you need to find the slope of a line given the equation.

Find the slope of any line that is a parallel and b perpendicular to the line. Before we tackle finding the parallel and perpendicular slopes it really can help us out if we find the slope of the given line. If you said -7, you are correct!!! Slope of the parallel line: Since parallel lines have the same slope what do you think the slope of any parallel line to this line is going to be?

Pat yourself on the back if you said Slope of the perpendicular line: Since the slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of any perpendicular line to this line is?

Find the slope of the line that is a parallel and b perpendicular to the line. Since parallel lines have the same slope what do you think the slope of the parallel line is going to be? Since the slopes of perpendicular lines are negative reciprocals of each other, what do you think the slope of the perpendicular line is? Do you remember what special type of line this equation is?

It is a vertical line. If you need a review on vertical lines, feel free to go to Tutorial What is the slope of a vertical line? If you said undefined, you are right on. Since parallel lines have the same slope, what do you think the slope of the parallel line is going to be?Find the Equation of a Line Parallel or Perpendicular to Another Line – Practice Problems Page 3 of 4 3.

## Perpendicular Lines

Find the equation of a line passing through the point (5, 4) perpendicular to the line –4x – 3y = 6. Find the equation of the circle passing through the points P(2,1), Q(0,5), R(-1,2) Method 3: The perpendicular bisectors of two chords meet at the centre. Great Circles.

A great circle is the intersection a plane and a sphere where the plane also passes through the center of the sphere. Lines of longitude and the equator of .

After completing this tutorial, you should be able to: Find the slope given a graph, two points or an equation. Write a linear equation in slope/intercept form. Students are often asked to find the equation of a line that is perpendicular to another line and that passes through a point.

Watch the video tutorial below to understand how to do these problems and, if you want, download this free worksheet if you want some extra practice. Video Tutorial. In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point.

Leibniz defined it as the line through a pair of infinitely close points on the curve. More precisely, a straight line is said to be a tangent of a curve y = f (x) at a point x = c on the curve if the line passes through the point .

Calculus II - Equations of Planes