Question

Plz help

Line L has equation 2x - 3y = 5. 
Line M passes through the point (2, -10) and is perpendicular to line L.
Determine the equation for line M.

A)2x + 3y = -14
B)2x - 3y = -26
C)3x + 2y = -14
D)3x - 2y = -26

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Answer 1

C

Explanation:

Perpendicular lines always have reciprocal slopes. The slope for line L is 2/3 found by converting 2x - 3y = 5 into y = 2/3x - 5/3. This means the line M will have slope -3/2. Find the equation of the line using point slope form.

y--10 = -3/2(x - 2)

y+10 = -3/2x + 3

3/2x +y = -7

Since the leading term cannot have a negative or fraction, multiply the equation by 2.

It becomes 3x + 2y = -14.