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Find an equation for the line below.

 

 Mar 18, 2021
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The two points are: (-5, 3) and (3, 5)

To find the slope, use this equation:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{5 - 3}{3 - (-5)}\)

\(m = \frac{2}{8}\)

\(m = \frac{1}{4}\)

 

Now we can plug in one of the points and find the y intercept:

(3, 5)
\(y = mx + b\)

\(5 = \frac{1}{4} \cdot 3 + b\)

\(5 = \frac{3}{4} + b\)

\(b = \frac{17}{4}\)

 

This means the equation of the line is:
\(y = \frac{1}{4}x + \frac{17}{4}\)

 Mar 18, 2021

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