Line A has a slope of and passes through the point (3, 3).

Line B has a slope of and passes through the point (-4, -2).

At what point does line A intersect line B?

Line A intersects line B at the point (, )

Question

Line A has a slope of  and passes through the point (3, 3).

Line B has a slope of  and passes through the point (-4, -2).

At what point does line A intersect line B?

Line A intersects line B at the point (, )

anonymous · Answer

for my sis

anonymous · Answer

Line A:3/2
Line B:-1/3

haleyelizabeth2017 · Answer

If I am not mistaken (it's been a while since I did this), we need to find the slope intercept forms of these lines and then either substitute them or eliminate.

anonymous · Answer

ok ok

anonymous · Answer

im 17 i completely forgot how to do this.......

anonymous · Answer

this is for my sister

haleyelizabeth2017 · Answer

so just plug in the slope and points into y=mx+b and solve for b....(do this for both lines) then we can finish by substitution.

anonymous · Answer

ok ok

anonymous · Answer

line A intersects line B at the point (-1, -3).

haleyelizabeth2017 · Answer

Okay......

anonymous · Answer

i just did it on a piece of paper

anonymous · Answer

i got it

anonymous · Answer

thx tho

haleyelizabeth2017 · Answer

Okay...sorry I couldn't be of anymore assistance.

anonymous · Answer

np

triciaal · Answer

do you need any more help?

dtan5457 · Answer

What did you get for the intercept point? (your answer)?

dtan5457 · Answer

Oh wait you got -1,-3, correct :)

triciaal · Answer

@dtan5457 i did not do the problem. Do you want to show what you did or wait for me to do it?

dtan5457 · Answer

@triciaal 

the asker already got the answer themselves

triciaal · Answer

@dtan5457 so you were directing your question at the asker but did not specify.
you responded to my question about needing more help.  read the thread.
ok.

dtan5457 · Answer

@triciaal 

I responded to you because you responded to my question which I answered myself.

mathstudent55 · Answer

This is the point-slope form of the equation of a line:
$y - y_1 = m(x - x_1)$
for a line with slope $m$, and point $ (x_1, y_1) $

Use it twice, once for each line. Each time, substitute m, x1 and y1 with the slope and coordinates of the given point. Then you will get the equation of each line.

The next step is to solve the two equations simultaneously as a system of equations. That will give you the point of intersection of the two lines.

texaschic101 · Answer

yep ^^ thats how I would do it