3
QuizMultiple Choice

Point-Slope Form of a Line — Quiz

Question 3 • *KCPS Algebra I (2027)

Chin was shown the graph of a line that contained point 1 comma 7 He wrote f of x is equal to 4 x plus 3 to correctly represent the line. Which of these equations could represent the same line?

Answer
A
y minus 7 is equal to 4 times open paren x minus 1 close paren
B
y minus 7 is equal to 3 times open paren x minus 1 close paren
C
y minus 1 is equal to 4 times open paren x minus 7 close paren
D
y minus 1 is equal to 3 times open paren x minus 7 close paren

Explanation

The equation f(x) = 4x + 3 has slope 4, and it passes through (1, 7) because 4(1) + 3 = 7. Using point-slope form, y − y₁ = m(x − x₁), gives y − 7 = 4(x − 1). That is choice A.

AI-written and checked against the verified answer.

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