Mortimer wants to change the shape of his garden. the garden is now 3 feet longer than its wide, but if he increases the length by 4 feet and decreases the width by 1 feet, he will gain 8ft^2 in area. what are the original dimensions of the garden?

The original dimensions of the garden are

Length

Width

Step-by-step explanation:

Let

x-----> the original length of the garden

y-----> the original width of the garden

we know that

-----> equation A

The original area is equal to

substitute equation A

if he increases the length by 4 feet and decreases the width by 1 feet, he will gain 8ft^2 in area

so

The new area is equal to

substitute equation A

Remember that

substitute the values

find the value of x

therefore

The original dimensions of the garden are

Length

Width

i think it is c, not positive though

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is