In the example above, we took a given point and slope and made an equation. Point-slope form is all about having a single point and a direction (slope) and converting that between an algebraic equation and a graph. If that's not what you got, re-read the lesson and try again. Create the equation that describes this line in point-slope form. Pretty simple, huh? Your final result should look like: Your slope was given to you, so where you see m, use 2. Just plug the given values into your point-slope formula above. Find the equation for this line in point slope form. You are given the point (4,3) and a slope of 2. In this case it denotes a specific y value which you will plug into the equation. It should be noted that \(y_1\) does not mean y multiplied by 1. The standard point slope formula looks like this: You have all the information you need to draw a single line on the map. Think about it this way: You have a starting point on a map, and you are given a direction to head. The point slope form gets its name because it uses a single point on the graph and the slope of the line. Point-slope form is also used to take a graph and find the equation of that particular line. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. When graphing a linear equation, the whole idea is to take pairs of x's and y's and plot them on the graph. Point-slope refers to a method for graphing a linear equation on an x-y axis. Using the Point-Slope Form of a Line Another way to express the equation of a straight line
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