Slope of a line in coordinates system, from f(x)=-12x+2 to f(x)=12x+2. The slope of a line in the plane containing the x and y axes is generally represented by the letter m, and is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line. This is described by the following equation: By converting a linear equation in standard form to slope intercept form, you can read slope directly from the equation. The slope of a line is rise over run. Learn how to calculate the slope of the line in a graph by finding the change in y and the change in x. How to Find Slope, Y-Intercept and Graph a Line - Duration: 6:30. Mr. Causey 302,718 views. 6:30. How to Determine the Slope From a Scatter Plot : Measurements & Other Math Calculations. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. The slope of a horizontal line is zero. This is because any horizontal line has a $$\Delta y$$ or rise of zero. Therefore, regardless of what the run is (provided its' not also zero!), the fraction representing slope has a zero in its numerator. Therefore, the slope must evaluate to zero. Keep zooming and moving the points closer together until you are happy with the answer. This is the idea behind differential calculus!We can't have a gap of zero (the slope could be anything), but as the gap heads towards zero, the slope heads towards the true slope at that point. Interesting Functions Say it has no slope. Horizontal lines have a zero slope. Zero is a number. In the equation, you are dividing zero by a number and the result is zero. If a quiz asks for the slope of a horizontal line, say zero. Parallel lines have equal slopes. If you find the slope of one line, you don't have to use the formula for the other line. They will be. Returns the slope of the linear regression line through data points in known_y's and known_x's. The slope is the vertical distance divided by the horizontal distance between any two points on the line, which is the rate of change along the regression line.