Recognize and analyze patterns that form linear relationships
Create tables of values with independent (x) and dependent (y) variables
Calculate the slope (m) using the formula (y2-y1)/(x2-x1)
Determine the y-intercept (b) by substituting known values
Write linear equations in slope-intercept form (y = mx + b)
What You'll Practice
1
Counting elements in visual patterns and organizing data in tables
2
Calculating slope from coordinate pairs with whole numbers and decimals
3
Solving for the y-intercept using the linear equation
4
Writing complete linear equations from tables of values
5
Using linear equations to predict values for given inputs
Why This Matters
Understanding linear patterns is essential throughout algebra and beyond. You'll use slope-intercept form to model real-world relationships like costs over time, distance vs. speed, and growth patterns. This foundation supports future work in graphing, systems of equations, and data analysis.