Q5 - Single Choice Question
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The perpendicular distance from (2,3) on the live 2x + 3y - 15 = 0 is __units
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Step-by-step explanation:
Equation of the line is
2x + 3y - 15 = 0
2x + 3y = 15
2x =15 - 3y
Let the value of x be 0
then,
0*2 = 15 - 3y
3y = 15 - 0
y = 5
hence coordinates are (0,5)
Now let x be 3
then,
2*3 + 3y = 15
6 + 3y = 15
3y = 15 - 6
3y = 9
y = 3
coordinates are (3,3)
therefore the line passes through (0,5) and (3,3).
And the perpendicular distance is 0.4 units.
hope this helps......... : )
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