Big Ideas Math: Modeling Real Life, Grade 8
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Exercise 33 Page 190

Apply inverse operations to isolate y.

y=x-1/4

Practice makes perfect
Rewriting any linear equation in the slope-intercept form requires us to isolate the y-variable. To do this, we will use the Properties of Equality to apply inverse operations on the equation.
x-y=1/4
x-y+y=1/4+y
x=1/4+y
x-1/4=1/4+y-1/4
x-1/4=y
y=x-1/4