Perpendicular equation calculator how to#

So the equation of the perpendicular line is y = -(1/3) x + (49/3). But what does that mean for the equations of a. If we plug in 10 for x and 13 for y, then Its easy to recognize perpendicular lines on a graph they come to a T- meeting at a perfect right angle. Example 2: Find the equation of the line that is perpendicular to the line 5x - y -12, passing through the points (3, 7). Now, try the perpendicular line calculator to find the perpendicular line equation of the following lines. The equation of the perpendicular line will be y = -(1/3) x + g, where g depends on the coordinates of the point. The equation of the perpendicular line is: y ((-3) × x) + 14. Suppose the equation of a line is y = 3 x - 4 and a point has coordinates (10, 13). You can compute the equation of a perpendicular line using the same method above. Y = -(1/ m) x + g, where g is a different y-intercept. That is, if the equation of the first line is y = mx + b, then the equation of a perpendicular line is When two lines are perpendicular, their slopes are opposite reciprocals. So the equation of the parallel line is y = 3 x - 17. It is easy to solve for f, just plug in 10 for x and 13 in for y. The equation of the parallel line will be y = 3 x + f, where f depends on the coordinates of the point.

Perpendicular equation calculator how to#

Here is an example of how to find the equation: When two lines are parallel, the only thing that is different between them is where they cross the y-axis. Now, if two lines are perpendicular, if the slope of this orange line is m- so let's say its equation is y is equal to mx plus, let's say it's b 1, so it's some y-intercept- then the equation. That is, if the equation of the first line is y = mx + b, then the equation of a parallel line is y = mx + f, where f is a different y-intercept. A perpendicular line will intersect it, but it won't just be any intersection, it will intersect at right angles. When two lines are parallel, their slopes are equal. A line that is vertical has infinite slope, and its equation is x = a, where a is the x-intercept.įollow the instructions below to compute parallel and perpendicular lines by hand, or use the calculator on the left to find the equations of the lines.

A line that is horizontal has a slope of zero, and its equation is simply y = b. The standard equation form for a line in the xy-coordinate plane is y = mx + b, where m is the slope of the line (rise over run) and b is the y-intercept. You can also determine the equation of a perpendicular line that goes through the given point. In linear algebra, if you are given the equation of a line and the coordinates of a point outside the line, you can find the equation of a parallel line that goes through the given point.