Graphing Linear Equations

🍀 Welcome to our Bite-Size VIDEO Tutorials for GRAPHING LINEAR EQUATIONS!

[FULL Tutorial] Mastering How to Graph Linear Equations

  • 🎯 Need to master or review the topic quickly? ▶️ Click the image to watch the tutorial [⏳14:20]
  • 🔧 This video covers:
    ① Rectangular Coordinate System
    ② Graphing Linear Equations
    ③ Slope and Intercepts
    ④ Parallel/Perpendicular Lines
    ⑤ Horizontal/Vertical Lines

Using the Rectangular Coordinate System

[Bite-Size Tutorial] Mastering the Rectangular Coordinate System

  • ▶️ Click the image to watch the tutorial [⏳1:04]
  • 📌 What is Rectangular Coordinate System? ➜ In algebra, a grid system is used to show a relationship between two variables (like 𝑥 and 𝑦).
  • 📌 What are Quadrants? ➜ The 𝑥-axis and 𝑦-axis divide the rectangular coordinate system into four regions (I – IV).
  • 📌 Every point in the system is represented by an Ordered Pair.
    ➜ The first number in the pair is the 𝑥-coordinate of the point, and the second number is the 𝑦-coordinate of the point.
  • 📌 What is Origin? ➜ The point (0, 0), where the 𝑥-axis and 𝑦-axis intersect.

Plot each point:

  • ▶️ Click the image to watch the guide [⏳2:13]
  • ✏️ The first number of the ordered pair is the 𝑥-coordinate, and the second number is the 𝑦-coordinate.

Plot each point:

  • ▶️ Click the image to watch the guide [⏳1:36]
  • ✏️ If 𝑥 = 0, the point is on the 𝑦-axis.
  • ✏️ If 𝑦 = 0, the point is on the 𝑥-axis.

Which ordered pairs are solutions to the equation 𝑥 + 4𝑦 = 8 ?

  • ▶️ Click the image to watch the guide [⏳ 1:47]
  • ✏️ Substitute the 𝑥- and 𝑦-values of the ordered pair into the equation ➜ Is the equation a true statement ?

Graphing Linear Equations in Two Variables

[Bite-Size Tutorial] Mastering How to Graph Linear Equations by Plotting Points

  • ▶️ Click the image to watch the tutorial [⏳ 2:03]
  • 📌 Every point on the line is a solution of the equation.
  • 📌 Every solution of this equation is a point on this line.

Graph by plotting points:

  • ▶️ Click the image to watch the guide [⏳ 2:04]
  • ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.

Graph by plotting points:

  • ▶️ Click the image to watch the guide [⏳1:59]
  • ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.

Graph by plotting points:

  • ▶️ Click the image to watch the guide [⏳2:03]
  • ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.

Graph by plotting points:

  • ▶️ Click the image to watch the guide [⏳2:31]
  • ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.

Graph by plotting points:

  • ▶️ Click the image to watch the guide [⏳2:38]
  • ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.

Graph by plotting points:

  • ▶️ Click the image to watch the guide [⏳1:06]
  • ✏️ Only one variable (𝑥) ➜ 𝑥 is always equal to 2.
  • ✏️ A vertical line passing through the 𝑥-axis at 2.

Graph by plotting points:

  • ▶️ Click the image to watch the guide [⏳1:10]
  • ✏️ Only one variable (𝑦) ➜ 𝑦 is always equal to −1.
  • ✏️ A horizontal line passing through the 𝑦-axis at −1.
  • ▶️ Click the image to watch the guide [⏳2:51]
  • ✏️ To graph 𝑦=−3𝑥, find three points whose coordinates are solutions, plot the points, and draw a line through the points.
  • ✏️ The equation 𝑦=−3 has only one variable (𝑦) ➜  a horizontal line passing through the 𝑦-axis at −3.

Graphing with Intercepts

[Bite-Size Tutorial] Mastering How to Graph Linear Equations Using Intercepts

  • ▶️ Click the image to watch the tutorial [⏳2:31]
  • 📌 The points where a line crosses the 𝑥-axis and the 𝑦-axis are called the intercepts of the line.
  • 📌 What is 𝑥-intercept? ➜ the point where the line crosses the 𝑥-axis. It has the form (𝑎, 0).
  • 📌 What is 𝑦-intercept? ➜ the point where the line crosses the 𝑦-axis. It has the form (0, 𝑏).

Graph using the intercepts:

  • ▶️ Click the image to watch the guide [⏳2:16]
  • ✏️ Find 𝑥-intercept (when 𝑦=0), 𝑦-intercept (when 𝑥=0), and a third solution. Then, draw a line through the points.

Graph using the intercepts:

  • ▶️ Click the image to watch the guide [⏳2:25]
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Graph using the intercepts:

  • ▶️ Click the image to watch the guide [⏳2:24]
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Graph using the intercepts:

  • ▶️ Click the image to watch the guide [⏳2:41]
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Understanding Slope of a Line

[Bite-Size Tutorial] Graphing Linear Equations Using Slope and Intercept

  • ▶️ Click the image to watch the tutorial [⏳4:33]
  • ▶️ Click the image to watch the guide [⏳1:21]
  • ▶️ Click the image to watch the guide [⏳1:31]
  • ▶️ Click the image to watch the guide [⏳0:56]
  • ▶️ Click the image to watch the guide [⏳1:05]
  • ▶️ Click the image to watch the guide [⏳0:59]

Using the Slope-Intercept Form of Equation of Line

  • ▶️ Click the image to watch the guide [⏳0:52]
  • ▶️ Click the image to watch the guide [⏳0:38]
  • ▶️ Click the image to watch the guide [⏳1:12]

Graph using the slope and 𝑦-intercept:

  • ▶️ Click the image to watch the guide [⏳1:24]

Graph using the slope and 𝑦-intercept:

  • ▶️ Click the image to watch the guide [⏳2:02]

Graph using the slope and 𝑦-intercept:

  • ▶️ Click the image to watch the guide [⏳1:23]

Graph using the slope and 𝑦-intercept:

  • ▶️ Click the image to watch the guide [⏳1:24]

Graph using the slope and 𝑦-intercept:

  • ▶️ Click the image to watch the guide [⏳1:26]

Graph using the slope and 𝑦-intercept:

  • ▶️ Click the image to watch the guide [⏳1:58]

Graph using the slope and 𝑦-intercept:

  • ▶️ Click the image to watch the guide [⏳1:32]

[Bite-Size Tutorial] Mastering Linear Equations with Parallel/Perpendicular Lines

  • ▶️ Click the image to watch the tutorial [⏳2:09]

[Bite-Size Tutorial] Mastering Linear Equations with Horizontal/Vertical Lines

  • ▶️ Click the image to watch the tutorial [⏳1:05]

Determine if the lines are parallel or perpendicular:

  • ▶️ Click the image to watch the guide [⏳2:18]

Determine if the lines are parallel or perpendicular:

  • ▶️ Video coming soon! 

Determine if the lines are parallel or perpendicular:

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Determine if the lines are parallel or perpendicular:

  • ▶️ Click the image to watch the guide [⏳1:39]

Determine if the lines are parallel or perpendicular:

  • ▶️ Click the image to watch the guide [⏳1:47]

Determine if the lines are parallel or perpendicular:

  • ▶️ Video coming soon! 

Finding the Equation of Line

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Graphs of Linear Inequalities

Graph the linear inequality:

  • ▶️ Video coming soon! 

Graph the linear inequality:

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Graph the linear inequality:

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Graph the linear inequality:

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