**Part 1: Commutative Property**

Which of the following equations is an example of the commutative property?

A. \((3)(6+10) = 18 + 30\)
B. \(18 + 30 = 30 + 18\)
C. \((3)(6) + (3)(10) = 3(16)\)
D. \(48 = 48\)

**Part 2: Equation of a Line**

Let the equation of a line be described by Equation A:
\[10y - 5x = 40\]

What are the y-intercept and slope of the line?

A. The y-intercept is 40, and the slope is 10
B. The y-intercept is 10, and the slope is 40
C. The y-intercept is 40, and the slope is 2
D. The y-intercept is 4, and the slope is 0.5

1. C o mm u ni c a t i v e p ro p re t y : a + b = b + a A n s w er : b . 18 + 30 = 30 + 18
1. y = m x + b m − a s l o p e b − y − in t erce pt − − − − − − − − − − − 10 y − 5 x = 40 / + 5 x 10 y = 5 x + 40 / : 10 y = 0.5 x + 4 → m = 0.5 an d b = 4 A n s w er : d . T h e y − i t erce pt i s 4 an d t h e s l o p e i s 0.5

Answered by Anonymous | 2024-06-10

For Part 1, the correct answer is B: 18 + 30 = 30 + 18, which illustrates the commutative property. For Part 2, the correct answer is D: The y-intercept is 4, and the slope is 0.5 after rearranging the equation. Both answers reflect important properties in mathematics regarding operations and linear equations.
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Answered by Anonymous | 2024-11-11