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QuizMultiple Choice

Point-Slope Form of a Line

Question 1 • AZ-Algebra 1A (MA101)

Chin was shown the graph of a line that contained point (1, 7). He wrote f(x) = 4x + 3 to correctly represent the line. Which of these equations could represent the same line?

Answer
A
y – 7 = 3(x – 1)
B
y – 1 = 3(x – 7)
C
y – 7 = 4(x – 1)
D
y – 1 = 4(x – 7)

Explanation

In f(x) = 4x + 3, the slope is 4. The point-slope form of a line through (1, 7) is y − 7 = m(x − 1), so substituting m = 4 gives y − 7 = 4(x − 1). This is choice C; the other choices use the wrong slope or coordinates.

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