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Writing Equations
Writing linear equations from tables and graphs
Question | Answer |
---|---|
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. |