Writing Linear Equations from Graphs in Slope-Intercept Form

📝 Practice Worksheets

Writing Linear Equations in Multiple Forms Writing Linear Equations from Function Tables Writing Equations of Graphed Lines in \(y=mx+b\) Form

🔑 Key Concepts

Slope-intercept form is \(y=mx+b\).
The y-intercept \(b\) is where the line crosses the y-axis.
Use two points to calculate \(\displaystyle m=\frac{\text{rise}}{\text{run}}\).
Substitute the slope and y-intercept directly into \(y=mx+b\).

💡 Main Idea

Read the y-intercept from the graph, use two points to calculate the slope, and substitute both values into \(y=mx+b\).

✏️ Worked Examples — Writing an Equation from a Graph

🧠 Math Vocabulary

Slope-intercept form: The form \(y=mx+b\), where \(m\) is the slope and \(b\) is the y-intercept.
Slope: The rate of change of a line, calculated as rise divided by run.
Y-intercept: The point where a line crosses the y-axis.
Rise: The vertical change between two points.
Run: The horizontal change between two points.

📚 What You Should Already Know

Students should know how to read points on a coordinate plane, identify rise and run, work with positive and negative integers, and recognize the y-axis.

🚀 What Comes Next

Students will write equations from tables and ordered pairs, graph equations from slope-intercept form, compare linear relationships, and model real-world situations with slope and y-intercept.

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