Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).
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Answer:
3x + 4y = 1
Step-by-step explanation:
determine the equation of the line that is perpendicular to the line 4x – 3y = –8 and passes through the point (3, –2).
4x – 3y = –8
=> 3y = 4x + 8
=> y = 4x/3 + 8/3
Comparing with
y = mx + c
m = 4/3
a line would be perpendicular if
Multiplication of their slope is - 1
=> m * (4/3) = -1
=> m = -3/4
y = (-3/4)x + c
lone passes through (3 , -2)
=> -2 = (-3/4)(3) + c
=> c = -2 + 9/4
=> c = 1/4
y = (-3/4)x + 1/4
=> 4y = -3x + 1
=> 3x + 4y = 1
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