Find the slope of the line through the given points. (1,2), (-3,2)

Mathematics

2 answers:

Aneli [31]3 years ago

5 0

The slope can be found by using the equation y2-y1 over x2-x1
2-2 over -3-1
= 0 over -4
your slope is 0

Kobotan [32]3 years ago

5 0

The slope=
$y= \frac{y2-y1}{x2-x1} 

 \frac{2-2}{-3-1} 

 \frac{0}{-4} }$

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We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as: