SOLUTION: Find the equation of straight line which is parallel to 2x+3y=11 and such that the sum of intercepts on axes is 15.

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Question 1066241: Find the equation of straight line which is parallel to 2x+3y=11 and such that the sum of intercepts on axes is 15.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Find the equation of straight line which is parallel to 2x+3y=11 and such that the sum of intercepts on axes is 15.
:
Find the slope of the given equation, put in the slope/intercept form:
2x + 3y = 11
3y = -2x + 11
y = -2%2F3x + 11%2F3
parallel lines have the same slope, find the parallel line
Given that intercepts: x + y = 15, therefore
y = (15-x)
the y intercept occurs when x = 0; therefore we can say
y = x + (15-x) = 0
-2%2F3x = -(15-x)
multiply both sides by -1
2%2F3x = 15 - x
add x to both sides
5%2F3x = 15
x = 15 *3%2F5
x = 9 is the x intercept
and
15-9 = 6 is the y intercept
:
See what that looks like

Green line is our parallel line; intercepts x=9; y=6