So the equation of the perpendicular line is y = -(1/3) x + (49/3). Equation of parallel line: OD Equation of perpendicular. If we plug in 10 for x and 13 for y, then Note that the ALEKS graphing calculator may be helpful in checking your answer. The equation of the perpendicular line will be y = -(1/3) x + g, where g depends on the coordinates of the point. 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. Sometimes, the line equation with the coordinates are given to. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Y = -(1/ m) x + g, where g is a different y-intercept. Perpendicular lines are the intersection of 2 different lines meeting at 90 degree to each other. Enter the Equation you want to solve into the editor. Enter the values of the equation and coordinates in the respective input. Our below online calculator can be used to solve the perpendicular lines. Let's assume it is a point with x 1 and y 1. Write down the coordinates of the first point. You need to follow the procedure outlined below. All you have to do is give two points that the line goes through. That is, if the equation of the first line is y = mx + b, then the equation of a perpendicular line is Sometimes, the line equation with the coordinates are given to us to solve the perpendicular lines. This slope intercept form calculator allows you to find the equation of a line in the slope intercept form. 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. 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. 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. 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.
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