Given ΔABC with A(-6, -1), B(3, 7), and C(4, -6)
Since it is an altitude and pass thru B, t
hen it is perpendicular to AC.
so slope(AC) = (-1 +6)/(-6 - 4) = -5/10 = -1/2
perpendicular lines, slope is opposite and reciprocal so slope = 2
passes through B(3, 7)
y - 7 = 2(x - 3)
y - 7 = 2x - 6
y = 2x + 1
equation in slope intercept form:
y = 2x + 1