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 here to watch the VIDEO 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 here to watch the VIDEO 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 here to watch the VIDEO tutorial [⏳2:19]
- ✏️ The first number of the ordered pair is the 𝑥-coordinate, and the second number is the 𝑦-coordinate.
Plot each point:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:46]
- ✏️ If 𝑥 = 0, the point is on the 𝑦-axis.
- ✏️ If 𝑦 = 0, the point is on the 𝑥-axis.
- ✏️ Point (0, 0) ➜ Origin, where the 𝑥-axis and 𝑦-axis intersect.
Which ordered pairs are solutions to the equation 𝑥 + 4𝑦 = 8 ?
- ▶️ Click here to watch the VIDEO tutorial [⏳ 1:44]
- ✏️ Substitute the 𝑥- and 𝑦-values of the ordered pair into the equation ➜ Is the equation a true statement ? ➜ If it is true, the number is a solution. If it is not true, the number is not a solution.
Graphing Linear Equations in Two Variables
[Bite-Size Tutorial] Mastering How to Graph Linear Equations by Plotting Points
- ▶️ Click here to watch the VIDEO tutorial [⏳ 2:03]
- 📌 Every point on the line is a solution of the equation.
- 📌 Every solution of a equation is a point on its line.
Graph by plotting points:
- ▶️ Click here to watch the VIDEO tutorial [⏳ 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 here to watch the VIDEO tutorial [⏳1:53]
- ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.
Graph by plotting points:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:56]
- ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.
Graph by plotting points:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:30]
- ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.
Graph by plotting points:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:39]
- ✏️ Find three points whose coordinates are solutions. Then, plot the points and draw a line through the points.
Graph by plotting points:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:10]
- ✏️ Only one variable (𝑥) ➜ 𝑥 is always equal to 2.
- ✏️ This is a vertical line passing through the 𝑥-axis at 2.
Graph by plotting points:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:13]
- ✏️ Only one variable (𝑦) ➜ 𝑦 is always equal to −1.
- ✏️ This is a horizontal line passing through the 𝑦-axis at −1.
- ▶️ Click here to watch the VIDEO tutorial [⏳3:01]
- ✏️ 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) ➜ This is 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 here to watch the VIDEO 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 here to watch the VIDEO tutorial [⏳2:09]
- ✏️ 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 here to watch the VIDEO tutorial [⏳2:20]
Graph using the intercepts:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:20]
Graph using the intercepts:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:21]
Understanding Slope of a Line
[Bite-Size Tutorial] Graphing Linear Equations Using Slope and Intercept
- ▶️ Click here to watch the VIDEO tutorial [⏳4:33]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:19]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:22]
- ▶️ Click here to watch the VIDEO tutorial [⏳0:58]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:07]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:02]
Using the Slope-Intercept Form of Equation of Line
- ▶️ Click here to watch the VIDEO tutorial [⏳1:01]
- ▶️ Click here to watch the VIDEO tutorial [⏳0:37]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:09]
Graph using the slope and 𝑦-intercept:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:17]
Graph using the slope and 𝑦-intercept:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:16]
Graph using the slope and 𝑦-intercept:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:16]
Graph using the slope and 𝑦-intercept:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:18]
Graph using the slope and 𝑦-intercept:
- ▶️ Click here to watch the VIDEO tutorial [⏳1:21]
Graph using the slope and 𝑦-intercept:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:06]
Graph using the slope and 𝑦-intercept:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:04]
[Bite-Size Tutorial] Mastering Linear Equations with Horizontal/Vertical Lines
- ▶️ Click here to watch the VIDEO tutorial [⏳1:05]
[Bite-Size Tutorial] Mastering Linear Equations with Parallel/Perpendicular Lines
- ▶️ Click here to watch the VIDEO tutorial [⏳2:09]
Determine if the lines are parallel or perpendicular:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:17]
Determine if the lines are parallel or perpendicular:
- ▶️ Click here to watch the VIDEO tutorial [⏳3:06]
Determine if the lines are parallel or perpendicular:
- ▶️ Click here to watch the VIDEO tutorial [⏳3:07]
Determine if the lines are parallel or perpendicular:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:11]
Determine if the lines are parallel or perpendicular:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:26]
Determine if the lines are parallel or perpendicular:
- ▶️ Click here to watch the VIDEO tutorial [⏳2:19]
Determine if the lines are parallel or perpendicular:
- ▶️ Click here to watch the VIDEO tutorial [⏳3:10]
Finding the Equation of Line
- ▶️ Click here to watch the VIDEO tutorial [⏳1:05]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:13]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:15]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:17]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:55]
- ▶️ Video coming soon!
- ▶️ Video coming soon!
- ▶️ Click here to watch the VIDEO tutorial [⏳1:26]
- ▶️ Click here to watch the VIDEO tutorial [⏳1:53]
- ▶️ Video coming soon!
- ▶️ Click here to watch the VIDEO tutorial [⏳0:52]
Graphs of Linear Inequalities (Coming Soon)
Graph the linear inequality:
- ▶️ Video coming soon!
Graph the linear inequality:
- ▶️ Video coming soon!
Graph the linear inequality:
- ▶️ Video coming soon!
Graph the linear inequality:
- ▶️ Video coming soon!
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