# Write an equation for the line in point slope form

In the previous lesson, Calculating Slopeyou learned how to calculate the slope of a line. In this lesson, you are going to graph a line, given the slope. We are still going to use the definition of slope, which is: You must have at least two points to draw a line.  Let's quickly review the steps for writing an equation given two points: Find the slope using the slope formula. Write the equation using the slope and y-intercept. Ok, now let's apply this skill to solve real world problems.

Now you will have to read through the problem and determine which information gives you two points. Remember a point is two numbers that are related in some way. Also remember, that when identifying a point from a word problem, "time" is always the x-coordinate.

In the first year, there were 35 participants. In the third year there were 57 participants. Write an equation that can be used to predict the amount of participants, y, for any given year, x. Based on your equation, how many participants are predicted for the fifth year?

Identify your two points. This can be written as 1,35 In the third year, there were 57 participants. This can be written as 3, Therefore, our two points are 1,35 and 3,57 Let's enter this information into our chart.

Now that we have an equation, we can use this equation to determine how many participants are predicted for the 5th year. All we need to do is substitute! We will substitute 5 for x x is the year and solve for y.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. 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.

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## Point-Slope Equation of a Line

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. Equation of a Line from 2 Points. First, let's see it in action. Here are two points (you can drag them) and the equation of the line through them.

This is called the slope-intercept form because "m" is the slope and "b" gives the y-intercept. (For a review of how this equation is used for graphing, look at slope and graphing.). I like slope-intercept form .

Equation of a Line from 2 Points