Algebra 1
Name___________________________________
Target 3.4 Retake - Graph using x and y intercepts
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Sketch the graph of each line.
1
1) y = − x + 3
2
7
2) y = − x + 4
2
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
3) y = −2 x + 5
1
2
3
4
5
6
1
2
3
4
5
6
7
4) y = − x − 3
2
6
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−2
1
−6 −5 −4 −3 −2 −1 0
−3
−2
−4
−3
−5
−4
−6
−5
−6
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Worksheet by Kuta Software LLC
5) y =
6) 3 x + 5 y = −5
1
x−5
3
6
5
6
4
5
3
4
2
3
1
2
−6 −5 −4 −3 −2 −1 0
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
1
2
3
4
5
6
−2
−3
−2
−4
−3
−5
−4
−6
−5
−6
7) 3 x − y = −5
8) 3 x + 4 y = 12
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
9) x + y = −5
10) 2 x + 3 y = −6
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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Worksheet by Kuta Software LLC
11) In one state, small bottles have a refund
value of $.04 each, and large bottles have a
refund value of $.08 each. Your friend
returns both small and large bottles and
receives $.56. This situation is given by
4x + 8y = 56 where x is the number of small
bottles and y is the number of large bottles.
a. Find the intercepts of the graph of the
equation. Graph the equation.
b. Give three possibilites for the number of
each size bottle your friend could have
returned.
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12) Before 1979, there was no 3-point shot in
professional basketball; players could only
score 2-point field goals and 1-point free
throws. In a game before 1979, a team
scored a total of 128 points. This situaiton
is given by the equation 2x + y = 128 where
x is the possible number of field goals and y
is the possible number of free throws.
a. Find the intercepts and graph the
equation.
b. What are three possible solutions to the
equation?
c. If the team made 24 free throws, how
many field goals were made?
Worksheet by Kuta Software LLC

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