Answer:
First, we must determine the slope of the line using slope formula*.
[tex]m = \frac{4 - 6}{8 - 3} = \frac{-2}{5} = -\frac{2}{5}[/tex]
Now that we have our slope, we find the y-intercept, or b, by pluging in the slope we found and one of the given points into slope-intercept form**.
[tex]6 = -\frac{2}{5}(3) + b\\\\6 = -\frac{8}{5} + b\\\\ \frac{36}{5} = b[/tex]
We can now create the equation of the line.
- [tex]m = -\frac{2}{5}[/tex]
- [tex]b = \frac{36}{5}[/tex]
The equation of the line is: [tex]y = -\frac{2}{5}x + \frac{36}{5}[/tex]
