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Rewrite the slope intercept equation of the line y = 2x + 5 in standard form. A) 2x - y = -5 B) 2x + y = 5 C) -2x - y = -5 D) 2x + y = -5

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luisejr77

Answer: OPTION A.

Step-by-step explanation:

The Standard form of the Equation of a line is the following:

[tex]Ax + By = C[/tex]

Where "A", "B" and "C" are integers ([tex]A>0[/tex])

Given the equation of the line in Slope-Intercept form:

[tex]y = 2x + 5[/tex]

You can follow these steps is order to rewrite it in Standard form:

1. Subtract 5 from both sides of the equation:

[tex]y-(5) = 2x + 5-(5)\\\\y-5=2x[/tex]

2. Subtract "y" from both sides of the equation:

[tex]y-5-(y)=2x-(y)\\\\-5=2x-y[/tex]

Therefore, the equation of the given line in Standard form is:

[tex]2x-y=-5[/tex]

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