Answer:
y = -1/2x + 5
It will take 10 weeks for the cat to lose 5 pounds.
Step-by-step explanation:
<u>Find slope</u>
Take 2 points (2,4) (6,2)
- y2 - y1/x2 - x1
- 2 - 4/6 - 2
slope = -1/2
<u>y-intercept</u>
(0,5)
<u>y = mx + b form</u>
m represents slope
b represents y-intercept
y = -1/2x + 5
<u>Find the number of weeks it will the cat to lose 5 pounds</u>
Set y = to 0, to find when the cat loses weight
0 = -1/2x + 5
<u>Subtract 5 in both sides</u>
-5 = -1/2x
<u>Isolate the variable by getting rid of the denominator</u>
-1/2x * 2 = -x
2 * - 5 = -10
<u>Simplify</u>
-x = -10
<u>Divide both sides by -1</u>
-x/-1 = x
-10/-1 = 10
<u>Simplify </u>
x = 10
<u>Answer</u>
It will take 10 weeks for the cat to lose 5 pounds