X-intercept = -y-intercept, point in Q2: Find the general equation of the line with x-intercept equal to minus the y_intercept and through the point (-2, 3).
Let the unknown y-intercept be denoted by i, and the unknown x-intercept 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
. Now we can substitute this back into the 2 intercept form:
. We can multiply by -5 and get
, or in the general form,
.