Determine The Equation of a Line

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

This lesson will show you two 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 should proceed by reading the study tips and watch the math video below. After that, you can try out the practice question.
Determine the equation of a line

Study Tips

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Tip #1
You need to have some knowledge on the 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
For the equation of a line that we want to determine, we would usually want that equation to be in the slope-intercept form (see picture).

This way, we just need to use the given information to find the value of the slope (m) and the y-intercept (b).

After doing so, we can easily determine the equation by substituting m and b with their respective value.

  
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
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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.
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