Describe graphing equations with a positive slope, Mathematics

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Describe Graphing Equations with a Positive Slope?

There are 3 steps to graphing a linear equation:
1. Identify and plot the y-intercept.
2. Determine the slope. Use the slope to plot the second point according to the rise over run.
3. Connect the points, which will form a line.

2332_Graphing Equations.png

Example: Graph y = 1/3x + 2.

Step 1: Identify and plot the y-intercept. The y-intercept is the number by itself.
The y-intercept = +2 and is located at (0, 2).

1664_Graphing Equations1.png

Step 2: Identify the slope. Start from the y-intercept and move according to the slope. Make a dot where you end up.
Slope = 1/3.
The numerator is the "rise" - go up 1.
The denominator is the "run" - go right 3.
On the graph, start from point (0,2), go up 1 and go right 3, then put a dot where you end up.

Step 3:
Connect the points you got from Step 1 and Step 2. The resulting line is the graph of the equation, y = 1/3x + 2.

491_Graphing Equations2.png


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