The equations ax+by+c =0 and dx+ey +c =0 represent the same straight line if *
1 point
ad = be
ac = bd
bc = ad
ab = de
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Any equation of the form ax+by+c=0 (i.e. a linear equation in one or two variables), will represent a straight line on the xy-plane, where both a and b should not be zero, i.e., at least one of a and b is non-zero.
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