Hello!
Slope intercept form is y = mx + b
m is the slope
b is the y-intercept
To turn the equation into the base form we have to get y by itself
-6y = -2x + 24
Divide both sides by -6
[tex]y=\frac{2}{6} x - 4[/tex]
Simplify
[tex]y=\frac{1}{3} x - 4[/tex]
To get the y-intercept we put 0 in for the x point and b for the y point
The y-intercept is (0, -4)
The slope is 1/3 which means every time x goes up by 3 the y goes up by 1
Other points are (3, -3) (6, -2) and (9, -1)
With 3 or more points we can plot a graph
Hope this Helps!
