A line having a slope of 3/4 passes through the point (-8,4). Write the equation of this line in slope-intercept form.

1 answer:

4 0

$General\ equation\ for\ line\ in\ slope\ intercept\ form:\\\\y=ax+b\\
a-slope\ \ \ a=\frac{3}{4}\\\\
y=\frac{3}{4}x+b\\\\Substitude\ point\ (-8,4)\\\\
4=\frac{3}{4}*(-8)+b\\\\
4=-\frac{24}{4}+b\ \ \ |Add\ -\frac{24}{4}\\\\
4+\frac{24}{4}=b\\\\
b=4+6=b\\\\
b=10\\\\
\textbf{Formula\ for\ line:}y=\frac{3}{4}x+10$

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Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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