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olga_2 [115]
3 years ago
15

Which graph represents the solution to the given system ? Y=- 6X - 2Y +2=- 6X

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the first equation:

y=- 6x - 2

You can identify that:

m=-6\\b=-2

 By definition, the line intersects the x-axis when y=0. Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:

0=- 6x - 2\\\\2=-6x\\\\x=-\frac{1}{3}\\\\x=-0.333

Now you can graph it.

Solve for "y" from the second equation:

y +2=- 6x\\\\y=-6x-2

 You can identify that:

m=-6\\b=-2

Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations  has<u> Infinitely many solutions.</u>

See the graph attached.

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