Learn Before
Graphing the Line Through with Slope
To graph the line passing through the point with slope , apply the point-and-slope procedure.
Step 1 — Plot the given point. Mark on the coordinate plane.
Step 2 — Identify the rise and the run. Write the slope as a fraction:
The rise is and the run is .
Step 3 — Count the rise and run to mark the second point. Starting at , move up units to reach , then move right units to reach .
Step 4 — Connect the points with a line. Draw a straight line through and and extend it in both directions.
Checking with a third point. To verify the graph, a third point can be found by writing the slope with negative signs in both the numerator and denominator: , since a negative divided by a negative is positive. Returning to the starting point and counting a rise of (down units) and a run of (left units) locates a third point at . If this point falls on the same line, the graph is confirmed correct.
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Learn After
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