Question

a line has a slope of (-\frac{4}{5}). which ordered pairs could be points on a line that is perpendicular to this line? select two options.

(square) ((-2, 0)) and ((2, 5))
(square) ((-4, 5)) and ((4, -5))
(square) ((-3, 4)) and ((2, 0))
(square) ((1, -1)) and ((6, -5))
(square) ((2, -1)) and ((10, 9))

Explanation:

Find perpendicular slope

Using the Perpendicular Line Equations knowledge point

$$ m_{\perp} = -\frac{1}{m} = -\frac{1}{-\frac{4}{5}} = \frac{5}{4} $$

Calculate option slopes

Using the Slope of a Line knowledge point

$$
LATEXBLOCK0
$$

Identify correct options

The options with a slope of \(\frac{5}{4}\) are the first and fifth options.

Answer:

• (A) \((-2, 0)\) and \((2, 5)\) (Correct answer)
• (B) \((-4, 5)\) and \((4, -5)\)
• (C) \((-3, 4)\) and \((2, 0)\)
• (D) \((1, -1)\) and \((6, -5)\)
• (E) \((2, -1)\) and \((10, 9)\) (Correct answer)