Answer:
y = (-1/6)x - 4
Explanation:
Line equations are usually expressed in the following format:
y = mx + c
Where m is the gradient (slope), and c is the y-intercept.
We can fill in the value of m right away as we are given it in the question:
y = (-1/6)x + c
And we are given the point (-6,-3), so we can fill in the values for x and y, in order to find the value of c:
-3 = (-1/6)(-6) + c
Rearrange and simplify this:
-3 = 1 + c
c = -4
Finally, substitute the value of c back into the original equation to get the final equation of the line:
y = (-1/6)x - 4