Using the Laws of exponents, simplify the following problem.

1 answer:

7 0

$\frac{4 {}^{4} }{ {4}^{ - 8} ({4}^{ - 14}) } = \frac{4 {}^{4} }{ {4}^{ - 22 } }$

(4^4)/(4^-22)
4^(4-(-22))
4^26

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Write the equation of the line in fully simplified slope-intercept form. y intercept = -2 (GIVE EXPLANATION)

nekit [7.7K]

Answer:

See Below:

Step-by-step explanation:

So, first of all. to find the equation of the line, the equation has to be in $y=mx+b$ form. In this for the following are:

$m$ is the slope of the line
$b$ is the y intercept

Solving

So, first of all, to find the equation of the line, we can get two points from the line, you can pick any points you want, but for this case, I will be using (0,-2) and (-2,0).

To solve for the slope, we can use rise over run to find the equation.

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Upon inserting our points into the equation, we get a slope of -1.

$\frac{0-(-2)}{-2-0}=\frac{2}{-2}=-1$

Creating The Equation

To create the equation in $y=mx+b$ form, we need to know what the intercept and the slope are, for which we solved above. We can now put in the things we found to get our final equation.

$y=-1x-2$