A Comprehensive Review of Line Graphing Methods: Table, Slope-Intercept, and Intercepts

Dec 30, 2025

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This lesson provides a thorough review of three methods for graphing a line: using a table, the slope-intercept form, and intercepts. Learn how to graph the function y = 2x - 1 using a table, and apply the slope and y-intercept method for y = (1/3)x - 2. Additionally, discover how to find and graph the x- and y-intercepts for the equation 3x + 5y = 15. Practice with various problems to determine which graphing method suits you best and enhance your understanding of line graphs.

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A Comprehensive Review of Line Graphing Methods: Table, Slope-Intercept, and Intercepts

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Graphing Lines: A Review Lesson Unit 10, Day 1
Methods for Graphing a Line • Using a table or chart • Using slope and y-intercept • Using x- and y-intercepts
Method 1: Using a Table Graph the function y = 2x – 1 using a table.
You try:
Method 2: Using y=mx+b Graph y= 1/3 x– 2 • Start at they-intercept • Count up and over using the slope • Connect the points to make a line
You try:
Method 3: Using Intercepts Graph 3x + 5y = 15 using intercepts • Find the y-intercept (x=0) • Find the x-intercept (y=0) • Connect the points to make a line
You try:
Which method is easiest to graph -3x + 6y = 2? • Table • Slope and intercept • X- and Y-intercepts