![]() To find it, you have to substitute x = 0 in the linear equation. The y-intercept is the value of y at which the line crosses the y-axis. You can read more about it in the description of our slope calculator. If it is negative, y decreases with an increasing x. ![]() If it is positive, the values of y increase when x increases. It tells us how much y changes for a fixed change in x. The term slope is the incline, or gradient, of a line. You can use these values for linear interpolation later. ![]() This is the so-called slope intercept form because it gives you two important pieces of information: the slope m and the y-intercept b of the line. (For example, you will find an x or a y, but never an x².) Each linear equation describes a straight line, which can be expressed using the slope intercept form equation.Īs we have seen before, you can write the equation of any line in the form of y = mx + b. Linear equations, or straight line equations, can be quickly recognized as they have no terms with exponents in them. There you can find a full description of these types of functions! You can also check our average rate of change calculator to find the relation between the variables of non-linear functions. We have two special calculators dedicated to such an equation, namely the parabola calculator and the quadratic formula calculator. In this slope intercept calculator, we will focus only on the straight line, but those interested in knowing more about the parabolic function should not worry. On the other hand, y = mx + b (with m and b representing any real numbers) is the relationship of a straight line. For example, y = x² + x is a parabola, also called a quadratic function. The specific form of will determine what kind of line we have. Any line on a flat plane can be described mathematically as a relationship between the vertical (y-axis) and horizontal (x-axis) positions of each of the points that contribute to the line.
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