📝 Practice Worksheets
🛠️ Related Tools
🔑 Key Concepts
- Slope-intercept form is written as \(y=mx+b\).
- The value \(b\) is the y-intercept, so the first point plotted is \((0,b)\).
- The value \(m\) is the slope, written as \(\displaystyle m=\frac{\text{rise}}{\text{run}}\).
- A whole-number slope should be written over \(1\), such as \(\displaystyle 2=\frac{2}{1}\) or \(\displaystyle -2=\frac{-2}{1}\).
- Start at the y-intercept, use the slope to locate additional points, and draw a straight line through the points.
🧠 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, written as \((0,b)\).
- Rise: The vertical change between two points on a line.
- Run: The horizontal change between two points on a line.
💡 Main Idea
To graph a linear equation written as \(y=mx+b\), begin by plotting the y-intercept \((0,b)\). Then write the slope as a fraction and use its rise and run to locate additional points. Continue the same movement pattern and draw a straight line through the plotted points.
📚 What You Should Already Know
Students should know how to locate ordered pairs on a coordinate plane, work with positive and negative integers, and interpret a fraction as vertical change divided by horizontal change.
🚀 What Comes Next
Students will use graphs to write linear equations, compare slopes and y-intercepts, identify parallel and perpendicular lines, and solve systems of linear equations by locating their intersection points.
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