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# Writing Equations

### Writing linear equations from tables and graphs

What is the format for a linear equation? y=mx + b
Which piece of the equation represents the slope? m
Which piece of the equation represents the y-intercept? b
How do you calculate the rate of change (slope) from a graph? Locate two points ON THE LINE that are easy to count; count the rise; count the run; write it as a fraction "rise over run" and simplify if possible.
How do you identify the y-intercept from a graph? Identify where the line crosses the y-axis.
How do you calculate the rate of change (slope) from a table? Count the rise (y-column) and the run (x-column); write it as a fraction "rise over run" and simplify if possible.
How do you identify the y-intercept from a graph? When the x coordinate is zero, the corresponding y-value is the y-intercept. If (0, y) isn't listed in the table, back the table up to x=0 and use the pattern to determine the corresponding y-value.
Created by: jbrouse
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