Step-by-step explanation:
To find the slope of any linear line you would have to use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
(-6 , 1) = ([tex]x_{2}[/tex], [tex]y_{2}[/tex])
(0 , 3) = ([tex]x_{1}[/tex], [tex]y_{1}[/tex])
Now you would insert the values into the formula....
[tex]\frac{1-3}{(-6)-0}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex]
1/3 is your answer.
If you want to check your answer, you would use the formula mx + b= y
m= slope
x = the x-coordinate in either of the coordinates
b= the y-intercept
y = the y-coordinate of the coordinate you chose
mx +b = [tex]\frac{1}{3}[/tex](-6) +3 = -2 +3 = 1
1/3 is the correct answer
Hope this helps!!!
