What is a Linear Relationship? 📏
A **linear relationship** exists between two variables when a change in one variable is directly proportional to a change in the other. When plotted on a graph, this relationship forms a straight line.
The key components of a linear relationship are its **slope** and **y-intercept**.
$$y = mx + b$$
Where **$m$ is the slope** (rate of change) and **$b$ is the y-intercept** (starting value).
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Video: Slope & Y-Intercept 🎬
Watch this video to visualize what slope and y-intercept mean.
Practice Problems
Find the slope and y-intercept from each equation.
1) $$y = 2x + 5$$
Slope:
Y-intercept:
2) $$y = -x + 3$$
Slope:
Y-intercept:
3) $$y = \frac{1}{2}x - 1$$
Slope:
Y-intercept:
4) $$y = 4$$
Slope:
Y-intercept:
⚡ Linear Relationships Speed Quiz
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