Given:
The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).
To find:
The vertices for 
.
Solution:
The rule represents refection of polygon QRST across the x-axis.
If a figure is reflected across the x-axis, then
Using this rule, we get
Therefore, the vertices for are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).
The length equals √123=11.09 inches
Therefore the statement "The length of the photo frame is between the 11 inches and 12 inches." is true.
To write an equation in point-slope form, we need the slope and a point.
The points given to us by the explanation are (3, 63) and (5, 57) where the x value represents the number of days without rain and the y value represents the depth of the water in inches.
To find the slope, we use the expression:
Change in y/change in x = 63-57/3-5
When simplified, we get: 6/-2 = -3
Therefore, the slope is -3
Note that we can use either of the points in our equation and we will still get the same equation.
Now we just need to substitute in our values:
y = -3(x-3) + 63 which is sometimes written as y - 63 = -3(x-3)
Hope this helps!
Hopefully this will help you.
