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QuizMultiple Choice

Writing Linear Equations — Unit test

Question 1 • AZ-Algebra 1A (MA101)

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

Answer
y
y – 12 = –5(x + 2)
y
y – 12 = 2(x + 2)
y
y + 12 = 2(x – 2)
y
y + 12 = –5(x – 2)

Explanation

The function f(x) = –5x + 2 has slope –5, and the given point is (–2, 12). Point-slope form is y – y₁ = m(x – x₁), so substituting gives y – 12 = –5(x – (–2)), or y – 12 = –5(x + 2). This matches choice A.

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