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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

1. Graphing Linear Equations

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Exercise 17 Page 159

Can the equation be written in standard form?

Linear? Yes.
Equation: 4x+y=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 A and B cannot both be zero.

12x=7y-10y

Subtract term

12x=-3y

LHS+3y=RHS+3y

12x+3y=0

.LHS /3.=.RHS /3.

12x+3y/3=0

Calculate quotient

4x+y=0

This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form. 4x+y=0 ⇔ 4x+ 1y= 0 When written this way, we can see that A= 4, B= 1, and C= 0. Since this equation can be written in standard form, it is linear.

Subchapter links

Check Your Understanding p.159

Practice and Problem Solving p.159-161

H.O.T. Problems p.161

Standardized Test Practice p.162

Spiral Review p.162

Skills Review p.162