Question

Guys.Can you please helo me with this?

Answer 1

Slope is -1/4 and the y intercept is -1.5

Answer 2

The slope-intercept form of a line is:

y=mx+b, where m=slope and b=y-intercept.

First find the slope using the two points clearly marked.

Slope or velocity is (y2-y1)/(x2-x1), in this case:

m=(-2-0)/(2--6)=-2/8=-1/4, so far we now have:

y=-0.25x+b, now using either point we can solve for b, using (2,-2):

-2=-0.25(2)+b

-2=-0.5+b

-1.5=b, so the line is:

y=-0.25x-1.5

So the slope is -1/4 and the y-intercept is -1.5

....

For the field of dimensions that are 3.2 times that of the playground...

perimeter=2(L+W) for the playground.

If the dimensions of the field are 3.2 times greater then:

p=2(3.2L+3.2W)

p=(3.2)(2(L+W))

So the perimeter of the field is 3.2 times that of the playground, so statements c and d are not true....

Now for the areas...the area of the playground is:

A=xy  and the area of the field is then:

A=(3.2x)(3.2y)

A=10.24xy

So the area of the field is 10.24 times that of the area of the playground.

Thus B is the only true statement.