Answer: [tex]y=\frac{5}{6}x+3[/tex]
Step-by-step explanation:
To find the equation of the line with the given points, we want to first find the slope then the y-intercept. We use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{8-(-2)}{6-(-6)} =\frac{10}{12}=\frac{5}{6}[/tex]
Now that we know the slope, we can use one of the points to find the y-intercept.
[tex]8=\frac{5}{6}(6)+b[/tex] [multiply]
[tex]8=5+b[/tex] [subtract both sides by 5]
[tex]b=3[/tex]
Now, we know the equation is [tex]y=\frac{5}{6}x+3[/tex].
