Graphing Linear Equations
Graph lines using various methods
lessons (3)
Graphing Linear Equations (Table Method)
Learn to graph linear equations by creating a table of values and plotting points on the coordinate plane.
Graphing Using Intercepts
Learn how to graph linear equations quickly by finding and plotting the x-intercept and y-intercept.
Graphing Using Slope-Intercept Form
Learn how to quickly graph linear equations using the slope and y-intercept.
Linear equations create straight-line graphs characterized by constant rate of change (slope). Understanding slope-intercept form, point-slope form, and standard form allows you to graph lines, write equations from graphs, and solve real-world problems involving linear relationships.
What Students Will Learn
- Graph lines using slope and y-intercept
- Write equations in slope-intercept form
- Convert between forms of linear equations
- Find equations from two points or point and slope
- Model real-world linear relationships
Frequently Asked Questions
What do m and b represent in y = mx + b?
m is the slope (rate of change, rise over run). b is the y-intercept (where the line crosses the y-axis when x = 0).
How do I find the slope between two points?
Use the slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$. This gives rise (vertical change) over run (horizontal change).
What does slope tell us about a line?
Positive slope: line rises left to right. Negative slope: line falls. Zero slope: horizontal line. Undefined slope: vertical line.