SOLUTION: write the equation of a line in standard form that has equal non-zero x- and y- intercepts and passes through (6, -8)

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Question 362834: write the equation of a line in standard form that has equal non-zero x- and y- intercepts and passes through (6, -8)
Answer by robertb(4012) About Me  (Show Source):
You can put this solution on YOUR website!
Use the intercept form of the equation: x%2Fa+%2By%2Fb+=+1. Since the x- and y-intercepts are equal, a = b, so the equation becomes
x%2Fa+%2B+y%2Fa+=+1. Substitute the coordinates of the given point into this equation:
6%2Fa+%2B+-8%2Fa+=+1,
-2%2Fa+=+1, or a = -2. Therefore the equation is
-x%2F2-y%2F2+=+1.