SOLUTION: Please help me with this question The line 3x + y = 15 intersects the axes at A and B. Find: (i) the coordinates of A and of B (ii) the distance AB

Question 70223: Please help me with this question
The line 3x + y = 15 intersects the axes at A and B.
Find:
(i) the coordinates of A and of B
(ii) the distance AB
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The line 3x + y = 15 intersects the axes at A and B.
Find:
(i) the coordinates of A and of B
To find the x-intercept, let y=0.
Then 3x=15
x=5
Intercept at (5,0)
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To find the y-intercept, let x=0.
Then y=15
Intercept at (0,15)
(ii) the distance AB
distance = sqrt((15-0)^2+(0-5)^2) = sqrt(225+25)=sqrt250= 5sqrt10
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Cheers,
Stan H.
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