Answer:
Catherine is not correct (see the explanation)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The formula to calculate the slope between two points is equal to

the two points from the graph are
(4,40) and (7,70)
substitute the values in the formula

therefore
Catherine is not correct
Answer:
The required co-ordinate is (-2, -5).
Step-by-step explanation:
For a given point, reflection of a point (x, y) across a horizontal line y = k, the reflected co-ordinates will be:
.
Here, (x, y) = (-2, 7) then reflection along the line y = 1, we get:

= (-2, -5)
The reflected point is (-2, -5).
Check the picture below.
you really have two rectangles, a 6x10 and a 6x5, and surely you know what those areas are, so sum them up, and that's the area of the polygon.
20, 10 line segments each with 2 ends = 20
Answer:
Area of triangle is 9.88 units^2
Step-by-step explanation:
We need to find the area of triangle
Given E(5,1), F(0,4), D(0,8)
We will use formula:

We need to find the lengths of side DE, EF and FD
Length of side DE = a = 
Length of side DE = a = 
Length of side EF = b = 
Length of side EF = b = 
Length of side FD = c = 
Length of side FD = c = 
so, a= 8.60, b= 5.8 and c = 4
s = a+b+c/2
s= 8.6+5.8+4/2
s= 9.2
Area of triangle=
So, area of triangle is 9.88 units^2