The distribution is for Wayne County residents. Our friendly and helpful volunteers will hand out food until it is gone. Simply show up between 10:00 and 11:00 AM. We are not requiring pre-registration at this time. 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.We are adjusting our schedule to accommodate MORE food distributions!įoodlink Food Distributions for Wayne County will continue through December 2023. The specific form of will determine what kind of line we have. For example, y = x² + x is a parabola, also called a quadratic function. On the other hand, y = mx + b (with m and b representing any real numbers) is the relationship of a straight line. 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. We have two special calculators dedicated to such an equation, namely the parabola calculator and the quadratic formula calculator.
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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. Linear equations, or straight line equations, can be quickly recognized as they have no terms with exponents in them. (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. 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. You can use these values for linear interpolation later. The term slope is the incline, or gradient, of a line. It tells us how much y changes for a fixed change in x. If it is positive, the values of y increase when x increases. If it is negative, y decreases with an increasing x. You can read more about it in the description of our slope calculator. The y-intercept is the value of y at which the line crosses the y-axis. To find it, you have to substitute x = 0 in the linear equation. You will see later, why the y-intercept is an important parameter in linear equations, and you will also learn about the physical meaning of its value in certain real-world examples. We have already seen what is the slope intercept form, but to understand why the slope intercept form equation is so useful you should know some applications it has in the real world. We will start with simple ones from physics so that you can get an intuitive idea of what the y-intercept and x-intercept mean.
Imagine a car moving at a fixed speed towards you. Its movement can be plotted as time versus the distance the car is from you (as shown above). This means that the x-axis will represent the time passed, and the y-axis will represent the distance to the car. You can even imagine the car has started to move before you started the timer (that is: before t = 0).
Now, if you look at the y-intercept ( x = 0), the point at which you started to keep track of time is t = 0. And so, the value of y at this point will indicate the starting position (distance) of the car with respect to you. This value is, like we have discussed before, the same as the value of b in the slope intercept form of a straight line equation.
Looking now at the x-intercept ( y = 0), this will be the point at which the distance from the car to you will be 0. Then the value of x at this point will be the time when you and the car were at the same place. Let's hope that means you were inside the car, and not under. We can distinguish 3 groups of equations depending on whether they have a y-intercept only, an x-intercept only or neither.
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