Slope Y2 Y1 X2 X1 Math

To solve the problems in this lesson students use the slope formula which states that m y2 y1 x2 x1.

Slope y2 y1 x2 x1 math. Find the equation of the line joining the points 3 4 and 2 5. Angle in degrees arctan m angle in radians angle in degrees 0 0174532925. M rise run y2 y1 x2 x1. Y mx b.

It doesn t matter which points you designate as x 1 y 1 and x 2 y 2. The formula for finding the slope of a line on a coordinate plane is y2 y1 x2 x1 where x2 y2 and x1 y1 represent two distinct points on the line. The slope formula can be read as slope equals the second y coordinate minus the first y coordinate over the second x coordinate minus the first x coordinate. This is the equation to find the slope m.

Just make sure that you plug your numbers into the. The math works out the same either way. This is also known as change in y over change in x or rise over run advertisement. To find any equation of a line the slope of the line must be found.

More geometry subjects circle. For example if the points 1 4 and 4 2 both lay on the same line the slope of that line equals 2 4 over 4 1 or 6 over 5. If the line is going up from left to right the slope is positive. X1 3 y1 4 x2 2 y2 5.

You can double check your answer by trying different points on the line. When two points x1 x2 y1 y2 are given and the equation contains these two points the first step is to find the slope of the line. The slope of a line containing two points x1 y1 and x2 y2 is given by the following formula a line s slope is often represented by the letter m. Consider the following set of points a 2 6 and b 6 2.

Slope y2 y1 x2 x1 if you go through the formula mentioned above slope is the ratio of difference between vertical coordinates and difference between horizontal coordinates. Slope y2 y1 x2 x1 slope rise over run. The algorithm of this slope calculator is based on these formulas. Slope m y2 y1 x2 x1 distance c square root of x2 x1 2 y2 y1 2 line of equation.