Lesson 1.1: Understanding Slope
Slope represents the steepness of a line. It is calculated as rise over run:
m = (y₂ - y₁) / (x₂ - x₁).
What is the slope of a line passing through (1,2) and (3,6)?
How to get the right answer:
Use the formula:
m = (y₂ - y₁) / (x₂ - x₁) = (6 - 2) / (3 - 1) = 4/2 = 2.
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Lesson 1.2: Understanding Y-Intercept
The **y-intercept** is where the line crosses the **y-axis**. It is represented by **b** in the equation **y = mx + b**.
What is the y-intercept in **y = 2x + 5**?
How to get the right answer:
The y-intercept **(b)** is the value of y when **x = 0**.
In the equation **y = 2x + 5**, when **x = 0**, **y = 5**. So the y-intercept is **5**.
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Lesson 1.3: Graphing Linear Equations
To graph a linear equation, find the **y-intercept** and use the **slope** to plot points.
What point does the equation **y = 3x + 2** pass through?
How to get the right answer:
The equation **y = 3x + 2** follows the form **y = mx + b**.
When **x = 0**, **y = 2**, so the point (0,2) is on the graph.
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