7
QuizMultiple Choice

Point-Slope Form of a Line — Quiz

Question 7 • *KCPS Algebra I (2027)

Which equation represents a line that passes through 4 comma 1 third and has a slope of 3 fourths ?

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

Explanation

Use point-slope form: y − y₁ = m(x − x₁), where m is the slope and (x₁, y₁) is the point. Substituting the slope 3/4 and the point (4, 1/3) gives y − 1/3 = (3/4)(x − 4). This matches choice C.

AI-written and checked against the verified answer.

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