Answer:
y = -1/2 x +5
10 weeks
Explanation:
The y intercept is 5 ( That is is the point where x=0)
Our slope is rise over run or 1 lb /2 weeks
We know this is negative because the cat is losing the weight
slope = -1/2
The equation in slope intercept form is
y= mx + b where m is the slope and b is the y intercept
y = -1/2 x +5
We need to determine when y=0 to find when the cat loses all 5 lbs
0 = -1/2 x +5
Subtract 5 from each side
0-5 = -1/2x +5-5
-5 = -1/2x
Multiply each side by -2 to get x alone
-5 *-2 = -1/2x * -2
10 = x
It will take 10 weeks