Question

Given triangle ABC with A(-4,-2), and B(4,4), and C (18,-8). Write the equation of the line containing the altitude that passes through B in standard form.

Answer 1

@jim_thompson5910 is there any chance you know how to do this question and can help me with it like finding the altitude?

Answer 2

You'll first need to find the slope of the line through point A and point C

Answer 3

slope formula

m = (y2 - y1)/(x2 - x1)

Answer 4

tell me what slope you get

Answer 5

I got 3/11

Answer 6

same here

Answer 7

now to find the perpendicular slope, we do 2 things

a) flip the fraction: 3/11 ----> 11/3

b) flip the sign (positive to negative): 11/3 ----> -11/3

Answer 8

the original slope is 3/11

the perpendicular slope is -11/3

Answer 9

we know this altitude has a slope of -11/3 and it goes through B(4,4)

Answer 10

y = mx+b

y = (-11/3)*x + b ... plug in m = -11/3

4 = (-11/3)*(4) + b ... plug in (x,y) = (4,4)

now solve for b

Answer 11

Thanx so much I got it from here xD the confusing part for me was getting the slope and the points but I now understand...thanx again ^^

Answer 12

you're welcome