The equation of a line *m* in the *xy*-plane is *y = 2x + *5. Which of the following is also an equation of the line *m*?

A) 2*x* - 2*y* = 5

B) 2*x* + 2*y* = 5

C) 6*x* - 3*y* = -15

D) 6*x* + 3*y* = -10

**Maps to Category 2 of the book.**

**Answer posted on 08/08/2021: Correct answer choice is C.**

The slope of line *m *from the given equation is 2.

Since the answer choices are given in the standard form, determine the answer choice where -*A/B* = 2.

Calculation is not required. For the slope to be positive, either *A* or *B* must be negative. This eliminates answer choices B and D. Since in answer choice A both *A* and *B* are 2, the slope is -2/-2 = 1. This eliminates answer choice A.

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