1. Coordinate Algebra
Practice
EOCT Answers
Unit 6

2. #1
Unit 6
An equation of line a is
Which is an equation of the line that is perpendicular to line a and passes through the point (–4, 0) ? A. B.
y = 2x – 2
y = 2x + 8

3. y = 2x + 8 Find Equation y = mx + b 0 = 2(–4) + b 0 = –8 + b 8 = b#1
Unit 6
An equation of line a is
Which is an equation of the line that is perpendicular to line a and passes through the point (–4, 0) ?
Perpendicular lines have slopes
that are negative reciprocals.
Find Equation
Negative
Reciprocal
slope
y = mx + b
0 = 2(–4) + b
0 = –8 + b
8 = b
y = 2x + 8

4. Unit 5
Parallelogram ABCD has vertices as shown. Which equation would be used in proving that the diagonals of parallelogram ABCD bisect each other? #2
Distance: (–1,4) & (1,0)
Distance: (1,0) & (3,–4) C.   

5. Rewrite as a probability.#3
Unit 6
Given the points P(2, –1) and Q(–9, –6), what
are the coordinates of the point on directed
line segment that partitions PQ in the ratio ?
Rewrite as a probability.

6. xm = r(x2 – x1) + x1 ym = r(y2 – y1) + y1 xm = (–9 – 2) + 2#3
Unit 6
Given the points P(2, –1) and Q(–9, –6), what
are the coordinates of the point on directed
line segment that partitions PQ in the ratio ?
xm = r(x2 – x1) + x1
ym = r(y2 – y1) + y1
xm = (–9 – 2) + 2
ym= (–6 – (–1)) + -1
xm = (–11) + 2
ym = (–5) + –1
xm =
ym = –3 + –1
xm =
ym = –4
xm =
Answer: A

7. Slope (m) of side AC Slope (m) of side AB#4
Unit 6
Triangle ABC has vertices as shown.
What is the area of the triangle?
Slope (m) of side AC 4 3 –3 4
Slope (m) of side AB
The slopes are negative reciprocals. So, sides AC and AB are perpendicular. Thus, ABC is a right triangle.

8. Triangle ABC has vertices as shown. What is the area of the triangle?#4
Unit 6
Triangle ABC has vertices as shown.
What is the area of the triangle?
ABC is a right triangle.
Sides AC and AB are
perpendicular. They are the legs of the right triangle.
To find the base and height, find the lengths of sides
AC and AB.

9. Triangle ABC has vertices as shown. What is the area of the triangle?#4
Triangle ABC has vertices as shown.
What is the area of the triangle?
Unit 6
Length of side AC
Length of side AB

10. Answer: Area = 12 square units Triangle ABC has vertices as shown.#4
Triangle ABC has vertices as shown.
What is the area of the triangle?
Unit 6
Length of side AC
Length of side AB
Answer:
Area = 12 square units