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Answer:

y = -1/2 x +5

10 weeks

Step-by-step 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

Answer:

y = -1/2x + 5

It will take 10 weeks for the cat to lose 5 pounds.

Step-by-step explanation:

Find slope

Take 2 points (2,4) (6,2)

  • y2 - y1/x2 - x1
  • 2 - 4/6 - 2

slope = -1/2

y-intercept

(0,5)

y = mx + b form

m represents slope

b represents y-intercept

y = -1/2x + 5

Find the number of weeks it will the cat to lose 5 pounds

Set y = to 0, to find when the cat loses weight

0 = -1/2x + 5

Subtract 5 in both sides

-5 = -1/2x

Isolate the variable by getting rid of the denominator

-1/2x * 2 = -x

2 * - 5 = -10

Simplify

-x = -10

Divide both sides by -1

-x/-1 = x

-10/-1 = 10

Simplify

x = 10

Answer

It will take 10 weeks for the cat to lose 5 pounds

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