Answer:
y=1/6x+2
Step-by-step explanation:
To start, you know what m is; it's just the slope, which you said was 1/6. So you can right away fill in the equation for a line somewhat to read:
y=1/6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(12,4). When x of the line is 12, y of the line must be 4.
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 1/6 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 (12,4).
So, why not plug in for x the number 12 and for y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(12,4). y=mx+b or 4=1/6 × 12+b, or solving for b: b=4-(1/6)(12). b=2.
