Given ΔABC with A(-6, -1), B(3, 7), and C(4, -6), write the equation of the line containing the altitude that passes through B i
n slope-intercept form. SHOW ALL WORK, and graph the triangle and the altitude.
Slope intercept: y = mx + b
1 answer:
<span>Given ΔABC with A(-6, -1), B(3, 7), and C(4, -6)
</span>Since it is an altitude and pass thru B, then 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
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