SOLUTION: Consider the line x/4 + y/8 =k, where is a positive number. In terms of k, write down the coordinates of A and B the points on which the line meets the x and y axes respectively.

Algebra ->  Length-and-distance -> SOLUTION: Consider the line x/4 + y/8 =k, where is a positive number. In terms of k, write down the coordinates of A and B the points on which the line meets the x and y axes respectively.      Log On


   



Question 896087: Consider the line x/4 + y/8 =k, where is a positive number. In terms of k, write down the coordinates of A and B the points on which the line meets the x and y axes respectively.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Let y=0 and find x;
Let x=0 and find y.

Given line, x%2F4+%2B+y%2F8+=k

x%2F4=k-y%2F8
x=4k-4y%2F8
x=4k-4%2A0%2F8
x=4k
Meaning the point (4k,0).

y%2F8=k-x%2F4
y=8k-8x%2F4
y=8k-8%2A0%2F4
y=8k
Meaning, the point (0,8k).