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McGraw Hill Glencoe Geometry, 2012

MH

McGraw Hill Glencoe Geometry, 2012 View details

3. Slopes of Lines

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Exercise 74 Page 196

Apply inverse operations to isolate $y .$

$y = \frac{3}{4} x + \frac{5}{4}$

Practice makes perfect

To solve the given literal equation for

y,

we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined. We will start with using the Addition Property of Equality.

4 y - 3 x = 5

$LHS + 3 x = RHS + 3 x$

4 y - 3 x + 3 x = 5 + 3 x

Add terms

4 y = 5 + 3 x

Next, to fully isolate

y,

we will apply the Division Property of Equality.

4 y = 5 + 3 x

$LHS / 4 = RHS / 4$

\frac{4 y}{4} = \frac{5}{4} + \frac{3 x}{4}

Calculate quotient

y = \frac{5}{4} + \frac{3 x}{4}

CommutativePropAdd

Commutative Property of Addition

y = \frac{3 x}{4} + \frac{5}{4}

MovePartNumRight

$\frac{a \cdot b}{c} = \frac{a}{c} \cdot b$

y = \frac{3}{4} x + \frac{5}{4}

Subchapter links

Check Your Understanding p.192

Practice and Problem Solving p.193-195

H.O.T. Problems p.195

Standardized Test Practice p.196

Spiral Review p.196

Skills Review p.196