How To Find Perpendicular Slope Formula

Coordinates and line equation is the prerequisite to finding out the perpendicular line.

How to find perpendicular slope formula. Y mx b to discover the slope is 23. Y y 1 14x x 1 and now put in the point 72. Simplify the equation so that it readsy 1 2 3 x 6displaystyle y 1 frac 2 3x 6 isolate theydisplaystyle y by adding1displaystyle 1 to both. The given equation is in standard form so it must be converted to slope intercept form.

So the perpendicular line will have a slope of 14. Therefore the slope of the perpendicular line is 13. The slope of the perpendicular line is the negative reciprocal. To be perpendicular the new slope must be 32 opposite reciprocal of the old slope.

I can just read the value off the equation. Theyve given me the original lines equation and its in y form so its easy to find the slope. Consider the equation of the line is ax by c 0 and coordinates are x1 y1 the slope should be ab. Y 1 2 3 x.

This means you change the sign of the slope to its opposite. The form of the equation is ax by c so subtract ax from both sides and divide both. Your equation may have x and y terms on both sides of the equals sign. And passes though the point 72 the slope of y4x10 is.

Then cancel out the product make it become 0 with either addition or subtraction. If one line is perpendicular to this line the product of slope should be 1. M 14 14. Perpendicular to y 4x 10.

The negative reciprocal of that slope is. Take the negative reciprocal. Collect them on the. Isolate y on the left side.

M 4. Dont forget to add or subtract the y value too. In this case to 3. You can find the slope of a line perpendicular to this line by using the points and going through y2 y1 x2 x1 y 2 y 1 x 2 x 1 or you can just nab it right out of the slope intercept form.

Multiply the new slope with the x value. Find the equation of the line that is. How to find perpendicular slope convert to standard form. Y 2 14x 7.

Find the slope of a line perpendicular to the line y 4x 9. Using the coordinates from the perpendicular line 6 1displaystyle 61 fill in the equation. Then find the reciprocal by switching the denominator and numerator to get 13.