Question

Find the area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2). A. 24 square units B. 12 square units C. 70 square units D. 35 square units

Answer 1

(–2, 4), one, three

Explanation:

For a linear equation:

y = a*x + b

the point-slope form is:

(y - y₁) = m*(x - x₁)

Where we know that this line has the slope m, and passes through the point (x₁, y₁)

In this case, the equation:

(y + 2) = –1/3(x – 4)

is already in the point-slope form.

here we have:

y₁ = -2

x₁ = 4

then the point is (-2, 4)

m = -(1/3)

m = -1/3 means that when we move 3 units to the right, we need to move one unit down. (or the inverse, we can move one unit down and 3 to the right)

So, to complete the statement we have:

plot the point (-2, 4), move one unit down, and three units over to find the next point on the line.

The correct option is 24

Answer 2

Check the picture below.

you can pretty much count the units off the grid.

recall area of a rectangle is simply width*height.