Question

1. You are designing a rectangular playground. On your scale drawing, the vertices of the rectangle are (6, 3), (6, 5), and (8, 3). What are the coordinates of the fourth vertex?

(4, 5)
(8, 5)
(8, 1)
(5, 8)

Answer 1

2. Determine which ordered pair is not a solution of y = –5x – 4.
(10, –52)
(7, –39)
(–7, 31)
(8, –44)

3. Find three solutions of the equation. y = 2x – 6
(–2, –10), (1, –4), (2, –1)
(–2, –10), (1, –4), (0, –6)
(0, –6), (3, –2), (–2, –10)
(1, –4), (0, –6), (–1, –9)

4. Determine which pair of points has a positive slope.
(5, –4), (–2, 1)
(–10, –2), (6, 6)
(6, –10), (2, 10)
(5, –1), (–6, 6)

5. Write a rule to describe the translation of a point from (–3, 3) to (–2, 2).
(x, y) (x – 1, y + 1)
(x, y) (x + 1, y + 1)
(x, y) (x – 1, y – 1)
(x, y) (x + 1, y – 1)

6. ΔPQR has vertices P(5, –1), Q(0, 8), and R(7, 5). It is translated right 3 units and up 6 units. Find the coordinates of P', Q', and R'.
P'(8, 5), Q'(3, 14), R'(10, 11)
P'(2, 5), Q'(–3, 14), R'(4, 11)
P'(8, –7), Q'(3, 2), R'(10, –1)
P'(2, –7), Q'(–3, 2), R'(4, –1)

7. The point D(x, y) is reflected over the y-axis. Use arrow notation to describe the original point and its reflection.
(x, y) (–x, –y)
(x, y) (x, –y)
(x, y) (–x, y)
(x, y) (2x, y)

Answer 2

see use the distance formula sqrt((x2-x1)^2 + (y2-y1)^2)
and make it equal to other two points by substituting.. and equate them..then the answer is ready..

Answer 3

So for number one it would be (4,5)?

Answer 4

wait let me check it..

Answer 5

Okay.

Answer 6

1) (8, 5)
I drew a rectangle

Answer 7

yeah this is corect.. (8,5)

Answer 8

What about number 2?

Answer 9

just substitute those points in the equation, wich satisfies that is the answer..:)