Equation of a line passing through the point
(2, -1) and whose distance from the point
(5, 3) has the greatest value, is
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3x + 4y + 2 = 0 is Equation of a line passing through the point (2, -1) and whose distance from the point (5, 3) has the greatest value
Step-by-step explanation:
Slope between (2 , -1) & ( 5 , 3)
= (3 - (-1))/(5 - 2)
= 4/3
Slope of line passing through (2 , -1) would be -3/4
y = -3x/4 + c
-1 = -3 * 2/4 + c
=> c = 3/2 - 1
=> c = 1/2
y = -3x/4 + 1/2
=> 4y = -3x + 2
=> 3x + 4y + 2 = 0
3x + 4y + 2 = 0 is Equation of a line passing through the point (2, -1) and whose distance from the point (5, 3) has the greatest value
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