The equations ax + by + c = 0 and dx + ey + c = 0 represent the same straight line if *
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The equations ax+by+c=0 and dx+ey+f=0 will represent the same straight line, if their slopes and y-intercepts are equal.
∴ -a/b = -d/e and -c/b = -f/e
a/d = b/e and b/e = c/f
a/b = b/e = c/f
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