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Point-Slope Form of a Line

Question 2 • AZ-Algebra 1A (MA101)

When the point (7, –4) is used, the point-slope form of the line is .

Answer
A
y – 7 = (–4/3)(x + 4)
B
y + 7 = (–3/4)(x – 4)
C
y – 4 = (–8/7)(x + 7)
D
y+ 4 = (–7/8)(x – 7)

Explanation

Point-slope form is y − y₁ = m(x − x₁). Substituting the point (7, −4) gives y − (−4) = m(x − 7), or y + 4 = m(x − 7). Choice D has this correct point substitution, with slope −7/8.

AI-written and checked against the verified answer.

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