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.

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) (Show Source): You can put this solution on YOUR website!
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 = x +
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
x = -(15-x)
multiply both sides by -1
x = 15 - x
add x to both sides
x = 15
x = 15 *
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

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