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My Answer is y = 1/3x -3 Is my answer correct?

My Answer is y = 1/3x -3 Is my answer correct?-example-1

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Okay, here we have this:

Considering the provided graph, we are going to calculate the equation of the line, so we obtain the following:

We first calculate the slope using the following two points through which the line passes (-3, -2), (3, -4). So, we have:}

m=(y2-y1)/(x2-x1)

m=(-4-(-2))/(3-(-3))

m=(-2)/6

m=-1/3

Now, let's find the y-intercept using the slope and the point (-3, -2):

y=mx+b

-2=(-1/3)(-3)+b

-2=1+b

b=-2-1

b=-3

Finally we obtain that the equation of the line is:

y=mx+b

y=-1/3x-3

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