# Write an equation in point slope form for the line through the given points

The plotting can be viewed by plotting at the intersection of lines blue circles or filling in pixel boxes yellow squares.

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.

## Point-slope form review | Linear equations | Algebra (article) | Khan Academy

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.

## Point-slope form

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.

## Distance Formula

Try working it out on your own. 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.

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.

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. Therefore the slope of this line is 2.

You could have used any triangle to figure out the slope and you would still get the same answer. Putting it all together, our point is -1,0 and our slope is 2. We know how to use the point-slope form, so the final answer is: As you can see, point-slope form is nothing too complicated.

It is just one method to writing an equation for a line. And of course, if you need more help, feel free to ask the volunteers on our math help message board. Point-Slope Calculator Many functions to try!Writing Algebra Equations Finding the Equation of a Line Given Two Points.

We have written the equation of a line in slope intercept form and standard form. We have also written the equation of a line when given slope and a point. Now we are going to take it one step further and write the equation of a line when we are only given two points that are on that line.

Set the drawing transformation matrix for combined rotating and scaling. This option sets a transformation matrix, for use by subsequent -draw or -transform options.. The matrix entries are entered as comma-separated numeric values either in quotes or without spaces. Simply knowing how to take a linear equation and graph it is only half of the battle.

You should also be able to come up with the equation if you're given the right information. Home; Calculators; Algebra I Calculators; Math Problem Solver (all calculators) Slope Intercept Form Calculator with Two Points.

The slope intercept form calculator will find the slope of the line passing through the two given points, its y-intercept and slope-intercept form of the line, with steps shown. After completing this tutorial, you should be able to: Find the slope given a graph, two points or an equation.

Write a linear equation in slope/intercept form. The slope-intercept form of a line is written as = = + where m is the slope and b is the y-intercept.

This is a function of only x and it would be useful to make this equation written as a function of both x and y.

Point Slope Form | Free Math Help