Algebra I Chapter 5 REVIEW Problems
2/5/2015
Find the slope of the line.
1.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
What is the slope of the line that passes through the pair of points?
2. (6, -7), (4, 17)
3. Suppose y varies directly with x, and y = 10 when x = –7. What direct variation equation
relates x and y? What is the value of y when x = –1?
What are the slope and y-intercept of the graph of the given equation?
4.
y=
4
x 
11
10
3
Write an equation of a line with the given slope and y-intercept.
5. m = 17, b = 5.2
Algebra I Chapter 5 REVIEW Problems
2/5/2015
Write the slope-intercept form of the equation for the line.
6.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
What equation in slope intercept form represents the line that passes through the
two points?
7. (2, -6), (5, 2)
Write an equation in point-slope form for the line through the given point with the
given slope.
8. (8, 3); m = 6
Algebra I Chapter 5 REVIEW Problems
Graph the equation.
9. y – 4 = 2(x - 1)
y
10
5
–10
–5
5
10 x
–5
–10
What is an equation of the line?
10.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
–2
–3
–4
–5
1
2
3
4
5
x
2/5/2015
Algebra I Chapter 5 REVIEW Problems
2/5/2015
11. The table shows the height above the ground of a rocket launched straight up. Write an
equation in point-slope form for the rocket’s height at any time. Let y stand for the
height of the rocket in meters and let x stand for the time in seconds.
Time (s)
Height (m)
3
21
5
33
7
45
9
57
Find the x- and y-intercept of the lines.
12. –4x + 2y = 72
7
5
13.  x  4y = 16
Are the lines for this pair of equations are parallel, perpendicular, or neither?
1
6
14. y =  x – 5
– 4y =
2
3
x + 12
Algebra I Chapter 5 REVIEW Problems
2/5/2015
Match the equation with its graph.
____15. –4x – 2y = 8
a.
–10 –8
–6
c.
y
–4
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
x
–4
–6
–4
–2
–2
–4
–6
–6
–8
–8
–10
–10
d.
y
–6
–10 –8
–4
b.
–10 –8
y
10
10
8
8
6
6
4
4
2
2
2
4
6
8
10
x
4
6
8
10
x
2
4
6
8
10
x
y
10
–2
–2
2
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
Write an equation for the line that is parallel to the given line and passes through
the given point.
16. y =
3
x – 8; (–15, –23)
5
Algebra I Chapter 5 REVIEW Problems
2/5/2015
Write the equation of a line that is perpendicular to the given line and that passes
through the given point.
17. x + 3y = 16; (–3, –4)
18. Graph
.
y
10
5
–10
–5
5
10 x
–5
–10
Write an equation for each translation of
19. 3 units left
20. 16.5 units right
.
Algebra I Chapter 5 REVIEW Problems
2/5/2015