[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-axisand𝑦-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]

Graph using the intercepts:

▶️ Click the image to watch the guide [⏳2:24]

Graph using the intercepts:

▶️ Click the image to watch the guide [⏳2:41]

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:

▶️ Video coming soon!

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: