Question

question 3 of 10

what is the point-slope form of a line with slope -4 that contains the point (-2, 3)?

a. \\(y + 3 = 4(x + 2)\\)
b. \\(y - 3 = 4(x + 2)\\)
c. \\(y - 3 = -4(x + 2)\\)
d. \\(y + 3 = -4(x - 2)\\)

Explanation:

Identify the point-slope formula

$$ y - y_1 = m(x - x_1) $$

Substitute the given values

$$
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$$

Simplify the equation

$$ y - 3 = -4(x + 2) $$

Answer:

• (A) \(y + 3 = 4(x + 2)\)
• (B) \(y - 3 = 4(x + 2)\)
• (C) \(y - 3 = -4(x + 2)\) (Correct answer)
• (D) \(y + 3 = -4(x - 2)\)