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

Question

cluponka [151]

3 years ago

14

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

Mathematics

1 answer:

Yuki888 [10] · Answer 1 · 2022-03-27T01:32:20+03:00

<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