modifying the slope and the y-interCept
A linear function (a function that graphs as a line) can be written in the form f(x) = mx + b, where m and b are real numbers.
If x is fixed, what happens to the value of f(x) if m increases by one? if m decreases by two? if m changes by n?
If x is fixed, what happens to the value of f(x) if b increases by one? if b decreases by two? if b changes by n?
|| Related External Resources
|Graphing a Line
This is an interactive step by step guide to graphing a line using the y-intercept and another point on the line.
General Form Linear Equations
Graph a series of lines in standard form using an interactive grapher, and observe patterns in the relationship between the graph and the equation. You can also predict the equation of a line from its graph.
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