Equal intercepts, point in Q2: Find the general equation of the line with equal intercepts and through the point (-2, 1).
Let the unknown intercept be denoted by i. We can use the definition of the 2 Intercept Rule:
.
Next we can substitute the coordinates of the point required to be on the line and solve for i:
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We can multiply both sides by i to get
-2 + 1 = i = -1. Now we can substitute this back into the 2 intercept form:
. We can multiply by -1 and get
, or in the general form,
.