Slope Re-Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Match the equation with its graph.
____
1. –7x + 7y = –49
a.
–10 –8
–6
–4
10
10
8
8
6
6
4
4
2
2
–2
–2
2
4
6
8
10
–4
–6
–4
–2
–2
–4
–6
–6
–8
–8
–10
–10
y
–6
–10 –8
x
–4
b.
–10 –8
y
c.
y
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
d.
10
–2
–2
2
–10 –8
–6
–4
–2
–2
–4
–4
–6
–6
–8
–8
–10
–10
Short Answer
State whether the slope is 0 or undefined.
y
2.
–5
–4
–3
–2
y
3.
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
1
2
3
4
5
x
Find the slope of the line using the formula for slope.
4.
y
5
4
3
2
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–2
–3
–4
–5
Find the slope of the line that passes through the pair of points.
5. (1, 7), (10, 1)
6.A student finds the slope of the line between (14, 1) and (18, 17). She writes
Find the slope and y-intercept of the line.
7.
4
y= x–3
3
8.
14x + 4y = 24
. What mistake did she make?
9.
Use the slope and y-intercept to graph the equation.
3
y= x–3
4
Find the x- and y-intercept of the line.
10. 2x + 3y = –18
11.
–3x + 9y = 18
12. y = –x +2
13.
y – 3 = (x + 5)
14. y = –3
15.
x = –4
Graph the equation.
16. A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
Write an equation in point-slope form for the line through the given point with the given slope.
17. (4, –6); m =
Are the graphs of the lines in the pair parallel? Explain.
1
18. y = x + 8
6
–2x + 12y = –11
19.
y = 5x + 6
–18x + 3y = –54
Write an equation for the line that is parallel to the given line and that passes through the given point.
3
20. y = x – 9; (–8, –18)
4
21.
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
21. 7x – 4y = 4
x – 4y = 3
22.
1
y =  x – 11
2
16x – 8y = –8
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
23. 4x – 12y = 2; (10, –1)
Essay
24. Use the map to answer the following. Show ALL your work.
y
10
Str
Fir
4
Stre
et
6
ee t
Birch Street
El m
8
Poplar Avenue
2
2
4
6
8
10
x
a. What is the slope of the line representing Elm Street?
b. Show that Birch Street and Poplar Avenue are parallel.
c. Show that Fir Street is NOT perpendicular to Birch Street