Question

The coordinates below represent two linear equations.

How many solutions does this system of equations have?

Line 1
x y
–3 6
3 4
Line 2
x y
–6 7
9 2


A.
0

B.
exactly 1

C.
exactly 2

D.
infinitely many
@Tina_Russo

Answer 1

Give me a sec, I think i almost got this.

Answer 2

got it, let me explain

Answer 3

Np

Answer 4

D. infinitely many

this is because they are actually the SAME line, with the same slope, intercepts.

your first set of points are (-3,6) and (3,4)

your 2nd set of points are (-6,7) and (9.2)

you want to put these into point-slope equation, so you must have the slope

y2-y1/x2-x1

do that for each and you realize both slopes are -1/3

then plug into point slope equation for first one

I will use the points (-3,6)

y-6=-1/3(x+3)
y-6=-1/3x-1
y=-1/3x+5


2nd line i used the point (-6,7)
y-7=-1/3(x+6)
y-7=-1/3x-2
y=-1/3x+5

same lines, infinite solutions.

Answer 5

any questions don't hesitate to ask :)

Answer 6

Thank You soo Much

Answer 7

np bud