Multiply by -1 on both sides of the above expression.Ĥx – y – 7 = 0 For negative coordinate pointsįind the linear equation of the line if the slope is 3.5 and the coordinate points are (-13, -12). Step 2: Take the formula of the point-slope form and substitute the given values. For positive coordinate pointsįind the linear equation of the line if the slope is 4 and the coordinate points are (3, 5).
#Point slope equation calculator free#
And of course, if you need more help, feel free to ask the volunteers on our math help message board.Point slope form calculator is an online tool used to find the linear equation of the line by using the coordinate points (x1, y1) and the slope of the line. Just practice converting between a line on a graph and an equation and you'll get the hang of it in no time. The other common way of doing this is the y=mx+b method. It is just one method to writing an equation for a line. Want to keep practicing even more? Check out this point-slope worksheet, and when you're done, the answer key.Īs you can see, point-slope form is nothing too complicated.
#Point slope equation calculator how to#
We know how to use the point-slope form, so the final answer is: Putting it all together, our point is (-1,0) and our slope is 2. You could have used any triangle to figure out the slope and you would still get the same answer. Remember that slope is rise over run, or y/x. Just count the number of lines on the graph paper going in each direction of a triangle, like I've shown. Note also that it is useful to pick a point on the axis, because one of the values will be zero.įinding the slope requires a little calculation, but it is also pretty easy. In the previous lesson, Calculating Slope, you learned how to calculate the slope of a. The point I've indicated, (-1,0), just happens to be the easiest one to find. Given two points, you can use either one in point slope form. It is simple to find a point because we just need ANY point on the line. To write the equation, we need two things: a point, and a slope. Example 2įind the equation (in point-slope form) for the line shown in this graph:
![point slope equation calculator point slope equation calculator](https://i.pinimg.com/originals/ae/0b/e5/ae0be586d0abf4eb3ee19979a256d14d.jpg)
Now let's take an equation and find out the point and slope so we can graph it. 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:
![point slope equation calculator point slope equation calculator](https://i.ytimg.com/vi/MrepNudwTDM/maxresdefault.jpg)
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. Use the m given in the problem, and the b that was just. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler. Substitution method plug in the slope and the (x, y) point values into y mx + b, then solve for b. 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