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Using the Point-Slope Form of a Line Another way to express the equation of a straight line 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.
The 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 head. You have all the information you need to draw a single line on the map.
The standard point slope formula looks like this: In this case it denotes a specific y value which you will plug into the equation. The variable m is the slope of the line. Example 1 You are given the point 4,3 and a slope of 2.
Find the equation for this line in point slope form. Just plug the given values into your point-slope formula above.
Your slope was given to you, so where you see m, use 2. Your final result should look like: Your point is -1,5.
Create the equation that describes this line in point-slope form. Try working it out on your own. If that's not what you got, re-read the lesson and try again.
Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph. In the example above, we took a given point and slope and made an equation.
Now let's take an equation and find out the point and slope so we can graph it. Example 2 Find the equation in point-slope form for the line shown in this graph: To write the equation, we need two things: It is simple to find a point because we just need ANY point on the line.
The point I've indicated, -1,0just happens to be the easiest one to find. Note also that it is useful to pick a point on the axis, because one of the values will be zero.
Finding the slope requires a little calculation, but it is also pretty easy.Each linear equation describes a straight line, and can be expressed using the slope intercept form equation.
As we have seen before, you can write the equation of any line in the form of y = mx + b. ©H c2 J24 yKXuAtUa l dS9o ef 1t4w5aFr Ren gL8LTCP.j R FA 8lPlM frri 0gChUt4s t 9rweks OetrLv efdA.U b wMpaRdreG VwWiAtyhL dISnxfxi dn xiStge f zASlHgIe kbVrEan 1B.
5 Worksheet by Kuta Software LLC. where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis.
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation.
Graph the equation of a line with slope and y intercept (0, 2). 3 5 CHECK YOURSELF 4 Step 1 Write the original equation of the line in slope-intercept form. Step 2 Determine the slope m and the y intercept (0, b). Step 3 Plot the y intercept at (0, b). Step 4 Use m (the change in y over the change in x) to determine a second point on the desired line.
Thank you for visiting writing linear equations worksheet Picture of writing equations in slope intercept form worksheet picture of with If you found any images copyrighted to yours, please contact us and we will remove it. Students learn to write the equation of a line in slope-intercept form using a table of ordered pairs.
The first step is to determine if the ordered pairs in the table lie on a line, so that slope-intercept form, or y = mx + b form, can be used to write the equation of the line.