SOLUTION: Ax+By=C M=7, (3,3)

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Question 999007: Ax+By=C
M=7, (3,3)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
You must be looking for the values of A, B, and C.

M=-A%2FB=7%2F1 and the given point lets you find C.

-7x%2B1%2Ay=-7%2A3%2B3
-7x%2By=-18
highlight%287x-y=-18%29



A longer but easier way:
Solve the standard equation for y in terms of x and arrange into slope-intercept form.

By=-Ax%2BC
y=-%28A%2FB%29x%2BC%2FB
In this way, you see M=-A%2FB=7%2F1 from which you can say A=-7 and B=1.

Now put this back into the standard form, left-hand member.
-7x%2B1%2Ay;
and remember, this was equated to C in that standard form equation.
-7x%2By=C.
Having a known, given point on the line, you just substitute those coordinates to evaluate C.
-
-7%2A3%2B3=C
C=-18 as found earlier.

Put everything back into the standard form equation.
highlight%28-7x%2By=-18%29-----This seems to be better, and therefore a mistake must have happened in the earlier shown solution.