Question

The coordinates below represent two linear equations.
How many solutions does this system of equations have?

Line 1
x y
–6 –6
–4 –3
Line 2
x y
0 3
2 6


A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many

Answer 1

can you tell me the slope of the second line

Answer 2

3/2

Answer 3

slope:
line 1 (-6 - -3) /-6 -- 4) >> -3/-2 >> 3/2
line 2: (6 - 3) / (2 - 0) >> 3/2

Answer 4

both lines have a slope of -3/2

Answer 5

ops, just 3/2

Answer 6

find the equartion of the first line using:
\(\large\color{slate}{ y-y_1=m(x-x_1)}\)

Answer 7

Um. What?

Answer 8

x y
–6 –6
–4 –3

\(\normalsize\color{slate}{ \rm y-(-4)=\frac{3}{2}(x-(-3)) }\)
\(\normalsize\color{slate}{ \rm y+4=\frac{3}{2}(x+3) }\)
\(\normalsize\color{slate}{ \rm y+4=\frac{3}{2}x+2 }\)
\(\normalsize\color{slate}{ \rm y=\frac{3}{2}x-2 }\)

Answer 9

refresh to get rid of question marks.

Answer 10

so the y intercepts of these 2 paralle lines are different, thus they are not on top of each other

Answer 11

that means the lines won't intersecrt

Answer 12

intersect*

Answer 13

So.....?

Answer 14

a solution is an intersection of the 2 graphs

Answer 15

So that means no solution?