So easy to figure out from these other forms right over here. Y-intercept pretty clearly from standard form and the x-intercept. So the thing that standardįorm is really good for is figuring out, not just the y-intercept, y-intercept is pretty good if you're using slope-intercept form, but we can find out the So let's say I have the linear equation, it's in standard form, 9X plus 16Y is equal to 72. And what I want to do in this video, like we've done in the ones on point-slope and slope-intercept is get an appreciation for what is standard form good at and what is standard form less good at? So let's give a tangible example here. And standard form takes the shape of AX plus BY is equal to C, where A, B, and C are integers. To get into in this video is another form. This is point-slope formĪnd we do videos on that. And if you know that X equals, X equals A, Y equals B, satisfies that equation, then in point-slope form youĬan express the equation as Y minus B is equal to M times X minus A. Solutions of that equation has a slope M. If you know that some, if you know that there'sĪn equation where the line that represents the You can algebraically manipulateįrom one to the other. And these are just different ways of writing the same equations. We've also seen that you can also express things in point-slope form. Represents the XY pairs that satisfy this equation, it would intersect the y-axis at the point X equals zero, Y is equal to B. And then from B you're able to figure out the y-intercept. This MX term right over here and M would represent the slope. Of Y is equal to MX plus B, where M and B are constants. Slope-intercept form, where it would be of the form Just enter you own examples above and they will be calculated immediately step-by-step.Looked at several ways of writing linear equations. To find the equation of the function, you have to insert a point and get an equation which gives the y-axis intercept. ![]() To calculate the slope m, use the formulaĪs we can see, the slope was calculated first. This means: You calculate the difference of the y-coordinates and divide it by the difference of the x-coordinates. How to calculate the equation of a linear function from two given points?įirst, we have to calculate the slope m by inserting the x- and y- coordinates of the points into the formula. Therefore, the equation of the function is General form of the linear function: f(x)=mx+b Here is an example: Lets assume we know that our function has slope and goes through (-2|5).Ĭalculate the y-axis intercept b by inserting: ![]() the one coordinate for x and the other one for f(x). You have to insert the point into the equation, i.e. How to calculate the equation of the line from a point and the slope? If you take a look on the function graphs, you see that intersects the y-axis at intersects the y-axis at. As the name says, it says where the function cuts the y-axis. The y-line intercept is the number at the end of the function. What is the y-line intercept of a linear function? This means whenever we go one square to the right, we have to go three squares down to be on the graph again. If we go one square to the right of any point on the graph, we have to go two squares up to be on the graph again.Īnother example, this time with negative slope: It says how may units you have to go up / down if you go one unit to the right. The slope of a linear function corresponds to the number in front of the x. The graph of a linear function is always a line.Ī similar word to linear function is linear correlation. Here is an example:ĭein Browser unterstützt den HTML-Canvas-Tag nicht. ![]() The general form of a linear function is, where m is the slope and b is the y-axis intercept. ![]() A linear function is a function whose graph is a line.
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