Answer:
2/3x-10
Explanation:
y=mx+b
y=2/3x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-6). When x of the line is 6, y of the line must be -6.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).
So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.
so, y=2/3x-10