Find the slope of the line perpendicular to the line passing through the points (3, 5) and (-4, 2). Option 1: 3/7 Option 2: -3/7 Option 3: 7/3 Option 4: -7/3

Answer: -7/3. Solution: Slope of the given line = (2-5)/(-4-3) = (-3)/(-7) = 3/7. For perpendicular lines the product of slopes is -1, so the required slope = -7/3.

Geometry

Miscellaneous

Easy

Find the slope of the line perpendicular to the line passing through the points (3, 5) and (-4, 2).

$\frac{3}{7}$

$-\frac{3}{7}$

$\frac{7}{3}$

$-\frac{7}{3}$

✅ Correct Option: 4

Slope of the given line $= \frac{2-5}{-4-3} = \frac{-3}{-7} = \frac{3}{7}$ .

For perpendicular lines the product of slopes is $-1$ , so the required slope $= -\frac{7}{3}$ .

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Solution

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