Question

Fans & Medals!! I really need help!!
The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
–6 3
3 6
Line 2
x y
–3 1
3 3


A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answer 1

@ganeshie8 @dumbcow canyou guys help??

Answer 2

@SolomonZelman

Answer 3

@Ashleyisakitty

Answer 4

@KendrickLamar2014 can you help?? plz

Answer 5

find slope of each line

if slopes are different , then there will be only 1 solution

if slopes are same, then check y-intercepts
If same y-intercept, then lines are equal and there are infinite solutions
If different, then no solution. the lines are parallel and never cross

Answer 6

Or just graph the lines and visually look to see how many times the lines cross :)

Answer 7

yea my book was saying that can you show in example it doesnt have to be the same as the up^

Answer 8

you have to know the slope formula
\[m = \frac{y_2 - y_1}{x_2 - x_1}\]
for example:
Line 1 has 2 points
(-6,3) ---> (x1,y1)
(3,6) ---->(x2, y2)

\[m = \frac{6-3}{3- (-6)} = \frac{3}{9} = \frac{1}{3}\]
Line 2:
(-3,1)
(3,3)
\[m = \frac{3-1}{3-(-3)} = \frac{2}{6} = \frac{1}{3}\]

They have same slope, find y-intercept
use y=mx+b

Line 1:
(x,y) = (3,6)
m = 1/3
\[6 = \frac{1}{3}(3) + b\]
\[b = 6 - 1 = 5\]

Line 2:
(x,y) = (3,3)
m=1/3
\[3 = \frac{1}{3}(3) + b\]
\[b = 3-1 = 2\]

Same slope, Different y-intercepts means No solution