Slope intercept form equation:
y= mx +b
where:
m= slope
b= y-intercept
So far, we are given the slope:
y= 1/6x + b
Now, replace (x,y) by the given point (-3,-2) and solve for b:
-2= 1/6 (-3) +b
-2 =- 1/2 + b
-2 + 1/2 = b
-3/2 = b
b = -3/2
Final equation:
y= 1/6x - 3/2