Algebra 1
Graphing Equations and Systems Worksheet
Name______________________
Period______Date____________
Slope Intercept
Graph each equation.
1. y  2 x  3
4. y 
1
x3
3
7. y  2 x  3
2. y  3 x  5
5. y 
2
x5
3
2
8. y   x  5
3
3. y  5 x  1
6.
5
x4 y
2
9. 2 y  5  6 x
Solve each system by graphing. (Notes)
a) 𝑦 = 𝑥 + 2
𝑦 = −2𝑥 + 2
b) 𝑦 = −2𝑥 + 1
𝑦 = −2𝑥 − 4
c) 𝑦 + 𝑥 = 4
2𝑥 + 2𝑦 = 8
Graph both equations on the same axis and find the solution (x, y) where they cross.
Label as “no solution” or “infinitely many solutions” if necessary. Use colored pencils to graph and to
write your solution!
10.
yx
y  5x
11.
12.
y  x4
y  4x  1
13.
y 1
yx
x  2 y  10
2 x  4 y  10
14.
y  3x  4
 12 x  4 y  16
16.
y  2x  3
y  3 x  2
18.
1
y   x5
2
4x  y  8
15.
y  2x  6
4x  2 y  8
17.
3x  y  9
2 x  3 y  12