Question

What is the solution to the system?
line 1 line 2
x y x y
-2 -4 2 3
-1 -1 3 1

Answer 1

You have 2 points per line. Get the slope of each one, and plug them each into

point slope formula

y-y1=m(x-x1)

Answer 2

for the first one, its -1-(-4) -1-(-2)

Answer 3

which equals 3

Answer 4

So like for the first one (-2,-4)(-1,-1)=

-3/-1= slope of 3

y+4=3(x+2)

y+4=3x+6
y=3x+2

Answer 5

Can you get the line for the 2nd equation?

Answer 6

-2

Answer 7

so its 3,-2

Answer 8

what did you get for the line ?

Answer 9

for line number 2, i got the answer -2

Answer 10

The slope is indeed -2.

Now plug that into

y-y1=m(x-x1)

Answer 11

how do i do that?

Answer 12

Take a point like 2,3 from your chart

y-3=-2(x-2)

can you simplify that?

Answer 13

not really..

Answer 14

y-3=-2x+4
add the 3

y=-2x+7

Answer 15

Now you have two lines

y=3x+2
y=-2x+7

you can solve for x by equating these together

3x+2=-2x+7

5x=5

x=1

plug that in any equation
y=3x+2

y=3(1)+2

y=5

your solution=1,5

Answer 16

wow youre good

Answer 17

thank you :)

Answer 18

no thank you! hey, if i need help with a couple more questions, would you be willing?

Answer 19

ask it on a new question and i'll try, im tight on time though