Answered

he coordinates below represent two linear equations.


How many solutions does this system of equations have?


Line 1

x y

–3 5

0 4

Line 2

x y

0 4

6 2

A.

0


B.

exactly 1


C.

exactly 2


D.

infinitely many

Verified Answer :

konrad509

\(\hbox{Line 1:}\\ m=\frac{5-4}{-3-0}\\ m=\frac{1}{-3}\\ m=-\frac{1}{3}\\\\ \hbox{Line 2:}\\ m=\frac{4-2}{0-6}\\ m=\frac{2}{-6}\\ m=-\frac{1}{3}\)

Both lines have the same slope, which means they are parallel. They also pass through the same point \((0,4)\). This means they're overlapping so there is infinitely many solutions.

cesaravado77

Answer

I almost got a 1000 points

Step-by-step explanation:

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