For example, if you choose one point such as (5, 6), be sure to use 6 (the y coordinate) as the first term of the "rise" subtraction on the top of the equation, and 6 as the first term of the "run" subtraction on the bottom of the equation. When choosing between your two points, it doesn't matter which point is used as (x 1,y 1) or (x 2,y 2), but it is very important that you consistently use the respective individual coordinates within each point. When we're dealing with an equation that describe lines (i.e., a linear equation), we typically put the equations into a form called slope intercept form that looks like this…īy starting with two points (x 1,y 1) and (x 2,y 2), the slope calculator substitutes the values into this equation to calculate the "rise" on the top and the "run" on the bottom. The rise in this case is negative (the line is "falling"), and such a line will have a negative slope. If a line is sloping down and to the right, it is falling as you look left-to-right across the x-axis. The rise in this case is positive, and such a line will have a positive slope. If a line is sloping up and to the right, it is rising as you look left-to-right across the x-axis. This slope calculator provides this ratio both as a fraction and a decimal, but shows the slope as a fraction in the calculator graph. Slope is defined as the ratio of vertical (y-axis) change over a given amount of horizontal (x-axis) change, often remembered more simply as a fraction describing rise over run or the rate of change. The slope of a line is a mathematical measurement of how steep a line drawn on a graph appears, and this value is usually shown as the variable m in an equation in slope intercept form, y=mx+b. If a new y intercept is entered, the slope will remain the same but the calculator will move the two points to shift the line to match the new y intercept. If a new slope is entered, the slope calculator will move one of the points so that the equation matches the new line. You may also calculate the equation for a line by changing the slope independently (either as a slope fraction or a slope decimal), or by entering a new y intercept. The calculator will automatically create the correct decimal or fraction components for whatever you enter. The calculator also allows direct entry of the rise or run values, or a decimal value for m. The slope calculator updates the graph and the equation automatically when you enter new values for the points. A graph of the line is drawn on a coordinate plane, along with the slope intercept equation. The slope and the intercept are then combined to provide the equation of the line in slope intercept form ("y=mx+b"). This slope calculator takes two points and then uses the slope formula to calculate the slope of a line defined by those two points, and then the y intercept. In order for the slope calculator to function. Your web browser must have JavaScript enabled
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