Question

Write the equation of the line containing the altitude ... Write the equation of the line containing the median that passes through point C in slope-intercept form ..
Points are a (-4,-2) b (4,4) C 18,-8).

Answer 1

@Earlgirl have you covered slopes yet?

Answer 2

Yes

Answer 3

ok have you plotted those points yet?

Answer 4

do you know where they go?

Answer 5

I had three questions regarding these these points. The first question asked me write an equation of the line containing th altitude that passes through B in standard form. I first did x1+x2/2 and y1+y2/2 to get mx1 and mx2. Then I found the slope (m) . I plugged that into y-y1=m(x-x1)

Answer 6

The second question asked me to write an equation for the line containing perpendicular bisector of AC in point slope form . I followed th same process as I did with the median

Answer 7

right , notice the graph

Answer 8

that's correct, the blue line, coming down from point B, is the indeed the altitude
because is the distance for the widest GAP in the triangle, thus the altitude

the purple line, would be the median through point "c"
because is coming from the MIDDLE of the opposite side of "c" and passes through "c"

Answer 9

So would I repeat the as,e process to find the equation for the median ?

Answer 10

well, you see, dunno what you've done so far...

to find the altitude, what you're really being asked is

"what is the equation of a line that is PERPENDICULAR to line AC and passes through point B"

so you'd need to firstly find the equation of the line AC
then keeping in mind that a PERPENDICULAR line to that equation will have a NEGATIVE RECIPROCAL slope
use that slope and the point B (4,4) to get its equation

Answer 11

notice the picture, if we straighten up the triangle and make AC the base, then the altitude will be PERPENDICULAR to AC and will pass through point B

Answer 12

Y+5=-6/22x-7 or y+5=22/6x-7

Answer 13

For the altitude y=3/4x+1

Answer 14

now the 2nd part is quite simple

you're asked for a line that comes out from the median and goes through "c"

so for that, you'd just need to get the MidPoint formula to get the MidPoint of AB

and then once you have that point, you'd want the

equation of a line that goes through THAT POINT and "c"

Answer 15

X1+x2/2 and y1+y2/2

Answer 16

for the midpoint, yes

Answer 17

What do I use for the other set of points ?

Answer 18

C = 18,-8

Answer 19

y=3/4x+1 <--- I didn't get that btw

Answer 20

C = 18,-8 <-- yes

Answer 21

hmmm lemme recheck myself

Answer 22

yea... I didn't get y=3/4x+1

Answer 23

Hmmm what did you get? I used points (-4,-2)(4,4)

Answer 24

I got zero and 1 as the midpoints

Answer 25

(0, 1) is correct for the midpoint of AB

Answer 26

so the purple line will be the "equation of a line that passes through (0,1) and (18, -8)"

Answer 27

Ok thanks . So basically you follow the same process for find the equation for each line

Answer 28

yes, using 2 points, getting the slope and and then plugging the values in the "point-slope form"

Answer 29

http://mathb.in/12767 <--- for the first one

Answer 30

I forgot to simplify