Determine The Equation of a Line

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Lesson Objective
This lesson shows you how to determine the equation of a line using the given information such as the slope, coordinates of a point and more.
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About This Lesson
In this lesson, we will learn how to determine the equation of a line using the information given.

This lesson will show you 2 examples on how to do so using the following information:
  1. Point (2,5) and Slope = 2  
  2. Points (1,4) and (2,1) 
You can proceed by reading the study tips first or watch the math video or try out the practice questions.
Determine the equation of a line

Study Tips

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Tip #1
You need to have some knowledge on Slope-Intercept Form of a line. You can learn about it by watching the math video in this lesson.
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Tip #2
Usually, to determine the equation of a line, we should begin with the Slope-Intercept Form of a line (as shown in the picture).

Next, we just use the information given to find the slope (m) and the y-intercept (b).

However, bare in mind that the information given may not directly help us to find the slope or y-intercept. If this is the case, we need think of way of using the information to find them.  
slope-intercept form of a line
Now, watch the following math video to learn more.

Math Video

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Click play to watch video

If the above player doesn't work, try this direct link.

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Math Video Transcript

Practice Questions & More

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Multiple Choice Questions (MCQ)
Now, let's try some MCQ questions to understand this lesson better.

You can start by going through the series of questions on determining an equation of a line or pick your choice of question below.
  1. Question 1 on determining the equation of a line using the coordinates of two points.