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Standard Form
Ax + By = C
This is given on the formula chart
Example Problem:
Ax + By = C
2x + 5y = 10
2x + 5y = 10
Isolate y.
In other words, get the variable y all by itself
2x + 5y = 10
Step 1
Subtract 2x from both sides
2x + 5y = 10
-2x -2x Step 1 Subtract 2x from both sides
5y = -2x + 10
2x + 5y = 10
-2x -2x Step 1 Subtract 2x from both sides
5y = -2x + 10
Next Step: Divide both sides by 5
2x + 5y = 10
-2x -2x Step 1 Subtract 2x from both sides
5y = -2x + 10
5 5 5 Step 2 Divide both sides by 5
y = -2/5x + 2
y = -2/5x + 2
y-intercept is 2 with a slope of -2/5 (Down 2, right 5)
Slope - intercept form y = -2/5x + 2
Standard Form: 2x + 5y = 10