McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
6. Analyzing Functions with Successive Differences
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Exercise 58 Page 595

Can you write the equation in standard form?

Linear? Yes
Equation: -7x+7y=0

Practice makes perfect

To determine if the given equation is a linear equation, let's first see if we can rewrite it in standard form. Ax+ By= CIn this form, A, B, and C are constants and either A or B must be nonzero.

7y=2x+5x
7y=7x
-7x+7y=0

This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form. -7x+7y=0⇔ -7x+ 7y= 0 When written this way, we can see that A= -7, B= 7, and C= 0. Since this equation can be written in standard form, it is linear.