Question

for the equation \\(y + 2 = 6(x - 5)\\), the line has a slope of 6 and contains what point?

(2, -5)
(-2, 5)
(-5, 2)
(5, -2)

Explanation:

Identify the standard form

Using the Point-Slope Form knowledge point

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

Match given equation parameters

Using the Point-Slope Form knowledge point

$$
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$$

Determine the point

Using the Point-Slope Form knowledge point

$$ (x_1, y_1) = (5, -2) $$

Answer:

• (A) \((2, -5)\)
• (B) \((-2, 5)\)
• (C) \((-5, 2)\)
• (D) \((5, -2)\) (Correct answer)