+592 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:
\(y = \frac{1}{4}x + \frac{17}{4}\)
