SOLUTION: Consider the line x/3 + y/ 8 = k, where k is a positive number a) Write the coordinates for A and B, the points where the line meets the x and y axes respectively b) The area of

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Question 1129132: Consider the line x/3 + y/ 8 = k, where k is a positive number
a) Write the coordinates for A and B, the points where the line meets the x and y axes respectively
b) The area of triangle AOB where O is the origin, is 144 units squared. Find the value for k

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Consider the line , where is a positive number

a) Write the coordinates for and , the points where the line meets the and axes respectively

the points where the line meets the is where

=> (, )

the points where the line meets the is where


=>(, )


b) The area of triangle where is the origin, is units squared. Find the value for

The area of triangle :

where

base is distance from origin to the point

height is distance from origin to the point


so, we have:








then,
=>=>
=>>=>


check the area:








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