Exercise 78 Page 227

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.

y=- 2x-4

AddEqn

LHS+2x=RHS+2x

y+2x=- 4

This is the standard form of the given equation. Below we have highlighted how it corresponds to the general standard form. x+2y=-4 ⇔ 1x+ 2y= -4 When written this way, we can see that A= 1, B= 2, and C= -4. Since this equation can be written in standard form, it is linear.