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) 2x - 2y = 5
B) 2x + 2y = 5
C) 6x - 3y = -15
D) 6x + 3y = -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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