Question

line pass through the line (-3, -7.5)tahila determined that the equation of line n is y=0.5x explain the error tahila made while dterming her equation and include the correct equation in your answer

Answer 1

The equation of the line will be (assuming the y-intercept equal to zero):

y = 2.5*x

What is Tahila's mistake?

We know that we have a linear equation of the form:

y = a*x + b

Such that we know that the line passes through (-3, -7.5), notice that the proposed equation is:

y = 0.5*x

If you evaluate that in -3, you get:

y = 0.5*-3 = -1.5

So this line does not pass through (-3, -7.5).

If we assume that b = 0 in the linear equation, then we can find the value of a as:

-7.5  =  a*-3

a = 7.5/3 = 2.5

Then the linear equation is:

y = 2.5*x

If you want to learn more about linear equations:

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