slope=rise over run
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There are many terms used for the purpose: slope, gradient, relationship, regression, correlation, error, scatter; as well as phrases: line of best fit, least squares, maximum likelihood. The question needs to be more specific.
the rate of change is related to the slope; the higher the slope, the higher the rate. If the line is vertical, that is infinite slope or infinite rate of change which is not possible
The y-intercept, together with the slope of the line, can also be used in graphing linear equations. The slope and y-intercept of a line can be obtained easily by inspection if the equeation of the line is of the form y=mx+b where m is the slope and b is the y-intercept.
Point Slope form is important because it can give us another set of coordinate pairs when we are only given one. When you have the two coordinate pairs, we are able to find the slope of the line using Y2-Y1 ------- X2-X1 Note: The slope is used to find how much y changes(increase/decreases) when x increases by one.
Point-slope refers to a method for graphing a linear equation on an x-y axis. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Point-slope form is also used to take a graph and find the equation of that particular line. Point slope form gets its name because it uses a single point on the graph and the slope of the line. Think about it this way: You have a starting point on a map, and you are given a direction to point. You have all the information you need to draw a single line on the map. The standard point-slope equation looks like this: It should be noted that "y1" does not mean y multipled by 1. In this case it means "y sub one", which is the y value for the point you will be using. The variable m is the slope of the line