Algebra 1
Homework #32
Name:______________________
REVIEW: 4.3: Standard Form 4.5: Slope-Intercept Form Date:________ Period:_________
Slope must be written in simplest form, and intercepts as ordered pairs!
Questions 1-2: Find the x- and y-intercept and the slope of the graph of each equation.
x-intercept
1
x-y=4
2
-2x + y = -6
y-intercept
Questions 3-4: Find the slope and y-intercept of the graph of each equation.
Slope
y-intercept
1
2
3
y   x 5
4
y = -x + 2
Questions 5-10: Match each equation to a graph.
5) ___ 3x + 2y = 6
8) ___ y  
A)
6) ___ -3x + 2y = 6
3
x 3
2
9) ___
y
B)
x
y 
7) ___ 3x – 2y = 6
3
x 3
2
10) ___ y 
3
x 3
2
C)
y
x
x
Questions 11-18: Graph each equation. Accuracy counts!
11) 4x – 2y = -8
13) 5y – 2x = -10
12) -x + y = 4
y
y
x
14) x + y = 3
y
x
16) y  
15) y = 3x - 4
y
y
x
y
x
3
x 5
4 y
x
x
18) y 
17) x + 2y = -4
x
1
x 4
y
2
19) y 
x
1
x 2y
3
x
Questions 20-22: Determine if the statement is true or false. Write TRUE or FALSE on
the answer blank (not just T or F)
20) The x-intercept of the equation 3x + 2y = 6 is (2, 0). _____________
21) The slope of the equation y = 3x + 2 is
1
. _____________
3
22) The y-intercept of the line 4x – 2y = 8 is (0, -4) .
Match each equation on the left with the BEST correct description on the right.
2
1
23. ________
The x-intercept of 4x – 2y = 12.
A.
24. ________
The y-intercept of 4x – 2y = 12.
B. (0, 6)
25. ________
The slope of y = 2x.
C. (3, 0)
26. ________
The slope of y = -2x + 6
D. (0, -6)
27. ________
The y-intercept of y = -2x + 6
E. 
2
1
Question 28 – 30: Match the equations with its intercepts.
_____ 28. 2x – 4y = 16
______ 29. 4x – 2y = 16
_____ 30. 4x – 2y = -16
A) x-intercept: (4, 0)
B) x-intercept: (-4, 0)
C) x-intercept: (8, 0)
y-intercept: (0, -8)
y-intercept: (0, 8)
y-intercept: (0, -4)
y
31) What is the apparent slope of the line graphed to the right?
A)
1
2
B) 2
x
C) 
1
2
D) -2
Choose (by underlining or highlighting) the correct term to complete each sentence.
32) The x-intercept of x – 2y = -6 is ((6, 0), (-6, 0)).
33) The (x-intercept, y-intercept) of the equation 2x + 3y = -6 is (-3, 0).
34) The equation y 
1
x  1 is written in (slope-intercept, standard) form.
3
35) The (x-intercept, y-intercept) of the equation -x - 4y = 8 is (0, -2).
36) The equation 3x – 4y = -5 is written in (slope-intercept, standard) form.
2
2
37) The slope of the line 2x + 3y = 6 is ( ,  ).
3
3
2
38) The slope of the line y = 2x – 4 is ( ,
1

2
).
1
39) Linear equations with positive slope (rise, fall) from left to right.
Find the slope of the line between the given points. You must simplify your answer!
40) (1, 2) and (1, -3)
________
41) (-3, -1) and (5, -3) ________
42) (3, 2) and (-4, 2)
________
43) (-2, 3) and (-8, -1) ________