Download Unit 7 REVIEW Coordinate Geometry

Name: ________________________ Class: ___________________ Date: __________
ID: A
Math 10 - Unit 7 REVIEW WORKSHEET- Coordinate Geometry
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Determine the slope of the line that is
perpendicular to this line segment.
3. Write this equation in slope-intercept form:
2
y − 4 = − (x + 8)
7
12
2
2
12
a. y = − x +
b. y = x +
7
7
7
7
2
12
c. y = −7x + 12 d. y = − x +
7
7
4. Write this equation in slope-intercept form:
2
y − 1 = − (x + 10)
7
13
2
2
13
a. y = − x −
b. y = x −
7
7
7
7
2
13
c. y = −7x − 13 d. y = − x −
7
7
a.
3
2
2
3
b. – c.
d. –
2
3
3
2
5. Which equations represent parallel lines?
a. y = 8x − 2 , y = 13x + 13 b. y = 8x + 8 ,
y = −2x + 8 c. y = −2x + 13 , y = −2x + 8
d. y = 13x − 2 , y = −2x + 8
2. Determine the slope of the line that is
perpendicular to this line segment.
a.
5
3
3
5
b. – c.
d. –
3
5
5
3
1
Name: ________________________
ID: A
10. Determine the x-intercept and the y-intercept for
the graph of this equation: 2x − 3y + 24 = 0
a. x-intercept: −12; y-intercept: −8 b. x-intercept:
12; y-intercept: 8 c. x-intercept: −12; y-intercept:
8 d. x-intercept: 12; y-intercept: −8
6. Write an equation to describe this graph.
11. Determine the x-intercept and the y-intercept for
the graph of this equation: 2x − 3y + 36 = 0
a. x-intercept: −18; y-intercept: −12
b. x-intercept: 18; y-intercept: 12 c. x-intercept:
−18; y-intercept: 12 d. x-intercept: 18;
y-intercept: −12
12. A line has x-intercept 4 and y-intercept 5?
Determine the slope of the line.
5
4
4
5
b. − c. − d.
a.
4
5
5
4
3
3
3
a. y = − x + 4 b. y = x + 4 c. y = − x − 4
5
5
5
3
d. y = x − 4
5
13. A line has x-intercept 4 and y-intercept 7?
Determine the slope of the line.
7
4
4
7
a.
b. − c. − d.
4
7
7
4
7. Which equation is equivalent to 2x − 3y − 9 = 0?
2
2
a. y − 7 = (x − 6) b. y = x + 3
3
3
2
2
c. y + 1 = − (x − 6) d. y + 1 = (x − 3)
3
3
14. Write an equation for the line that passes through
T(–4, 4) and is parallel to the line
y = 5x − 8 .
1
a. y + 4 = − (x − 4) b. y + 4 = 5(x − 4)
5
1
c. y − 4 = − (x + 4) d. y − 4 = 5(x + 4)
5
8. Write an equation for the graph of a linear function
1
that has slope − and y-intercept –3.
3
15. Write an equation for the line that passes through
T(–1, 4) and is parallel to the line
y = 6x − 6 .
1
a. y + 4 = − (x − 1) b. y + 4 = 6(x − 1)
6
1
c. y − 4 = − (x + 1) d. y − 4 = 6(x + 1)
6
1
1
1
x + 3 b. y = − x − 3 c. y = 3x −
3
3
3
1
d. y = −3x −
3
a. y =
9. A line passes through R(12, 1) and F(–4, –8).
Determine the coordinates of two points on a line
perpendicular to RF.
a. (2, 24) and (33, –14) b. (24, 2) and (–14, 33)
c. (24, 2) and (33, –14) d. (24, –14) and (33, 2)
2
Name: ________________________
ID: A
b.
16. Is the slope of this line segment positive, negative,
zero, or not defined?
c.
a. negative b. zero c. positive d. not defined
7
17. Use the equation y = − x − 4 to calculate the value
2
of y when x = 6.
a. 17 b. –46 c. –25 d. –17
18. Which graph represents the equation
3
y + 2 = (x + 3) ?
4
a.
d.
3
Name: ________________________
ID: A
b.
5
19. Write this equation in general form: y = − x + 3
4
a. 5x + 4y − 12 = 0 b. 5x − 4y + 3 = 0
c. −5x − 4y − 12 = 0 d. 5x + 4y − 3 = 0
20. Determine the slope of the line that is parallel to
this line segment.
c.
a. –
7
3
3
7
b. –
c.
d.
3
7
7
3
21. Which graph represents the equation
4x − 5y − 20 = 0?
a.
d.
4
Name: ________________________
ID: A
27. Determine the slope of this line segment.
22. Which equation is written in general form?
a. −6x − 8y + 34 = 0 b. 8x = 6y − 34
1
c. 8x − 6y + 34 = 0 d.
x − 6y − 8 = 0
34
23. In which form is the equation 11x + 2y − 7 = 0
written?
a. Slope-intercept form b. General form
c. Standard form d. Slope-point form
24. A road rises 10 m for every 53 m measured
horizontally. Determine the slope of the road.
53
10
10
53
a. −
b.
c. −
d.
10
53
53
10
25. A line passes through D(–6, 3) and N(7, –8).
Determine the coordinates of two points on a line
parallel to DN.
a. (–12, 14) and (6, –16) b. (–12, 6) and (–16,
14) c. (6, –12) and (14, –16) d. (–12, 6) and
(14, –16)
a.
7
3
3
7
b.
c. − d. −
3
7
7
3
28. Write an equation for the graph of a linear function
2
that has slope
and passes through S(–5, 8).
11
2
2
a. y − 8 =
(x + 5) b. y + 8 =
(x − 5)
11
11
2
11
c. y − 8 = − (x + 5) d. y − 8 = − (x + 5)
11
2
26. Determine the y-intercept of the graph of this
equation: y − 7 = 4(x + 3)
a. 19 b. −19 c. 7 d. −12
Short Answer
29. Write an equation in general form for the line that
passes through A(5, –2) and B(9, 8).
5
Name: ________________________
ID: A
32. Determine the slope of this line segment.
30. a) Determine the x- and y-intercepts of the graph of
this equation: 5x + 7y + 35 = 0
b) Graph the equation.
33. Determine the slope of the line of this equation:
7x + 5y − 11 = 0
34. Write an equation for the line that passes through
E(–3, –3) and F(2, 9). Write the equation in
slope-point form and in slope-intercept form.
31. Graph the line with y-intercept 3 and slope –3.
35. Write this equation in general form: y =
11
x−3
4
36. Write this equation in general form:
3
y − 3 = (x + 5)
5
37. Determine the slope of the line that passes through
(–15, –10) and (7, 19).
6
Name: ________________________
ID: A
38. Determine the value of k when the equations
4kx − 2y − 10 = 0 and 3x + 5y − 7 = 0 represent lines
that are:
a) parallel
b) perpendicular
39. Write an equation in slope-point form for this line.
7
Name: ________________________
40. i)
ID: A
Determine the slope and y-intercept of this graph.
ii) Write an equation to describe the graph.
8
ID: A
Math 10 - Unit 7 REVIEW WORKSHEET- Coordinate Geometry
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
B
B
D
D
C
C
D
B
C
C
C
C
C
D
D
D
C
B
A
C
B
C
B
D
D
A
D
A
SHORT ANSWER
29.
5x − 2y − 29 = 0
1
ID: A
30. a) x-intercept: –7 y-intercept: –5
b)
31.
9
7
7
33. −
5
32. −
12
(x + 3)
5
12
21
y=
x+
5
5
34. y + 3 =
or
12
(x − 2)
5
12
21
y=
x+
5
5
y−9 =
35.
11x − 4y − 12 = 0
2
ID: A
36.
3x − 5y + 30 = 0
37.
29
22
38. a) When the lines are parallel, k is −
3
.
10
5
b) When the lines are perpendicular, k is .
6
7
39. y − 9 = − (x + 4)
2
1
40. i) slope: ; y-intercept: −1
3
1
ii) y = x − 1
3
3