Question 70223
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.