What is the equation of the line that passes through (-1, 4) and ( 2, -8) written in slope-intercept form?

Mathematics

1 answer:

AfilCa [17]3 years ago

4 0

The answers tell you the y-intercept is zero, so all you need to do is choose the appropriate slope. Since y/x = -4, ...
.. selection A is appropriate.

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The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

<h3>Application</h3>

$\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}$