Linear Functions Worksheet
Represent Each Equation Graphically:
1 y = 2
2y = −2
3 y = ¾
4y = 0
5x = 0
6 x = − 5
7y = x
8y = 2x
9y = 2x − 1
10y = −2x − 1
11y = ½x − 1
12y = ½x − 1
13Graph the following functions based on the information given:
1 The line has a slope of −3 and its y-intercept is −1.
2 The line has a slope of 4 and passes through the point (−3, 2).
3 The line passes through points A (−1, 5) and B (3, 7).
4 The line passes through point P (2, −3) and is parallel to the line y = −x + 7.
1
y = 2 is a constant function.
2
y = −2 is a constant function.
3
y = ¾ is a constant function.
4
y = 0 is a constant function.
5
x = 0 is a vertical line.
6
x = −5 is a vertical line.
7
y = x is the identity function.
| x | y = x |
|---|---|
| 0 | 0 |
| 1 | 1 |
8
y = 2x is a linear function.
| x | f(x) = 2x |
|---|---|
| 0 | 0 |
| 1 | 2 |
9
y = 2x − 1 is a linear function.
| x | y = 2x − 1 |
|---|---|
| 0 | −1 |
| 1 | 1 |
10
y = −2x − 1 is a linear function.
| x | y = −2x − 1 |
|---|---|
| 0 | −1 |
| 1 | −3 |
11
y = ½x − 1 is a linear function.
| x | y = ½x − 1 |
|---|---|
| 0 | −1 |
| 2 | 0 |
12
y = −¾x − 1 is a linear function.
| x | y = −¾x − 1 |
|---|---|
| 0 | −1 |
| 4 | −4 |
13
Graph the following functions based on the information given:
1 The line has a slope of −3 and its y-intercept is −1.
y = −3x −1
| x | y = −3x − 1 |
|---|---|
| 0 | −1 |
| 1 | −4 |
2 The line has a slope of 4 and passes through the point (−3, 2).
y = 4 x + b 2 = 4 · (−3) +b b = 14
y = 4 x + 14
| x | y = 4x +14 |
|---|---|
| 0 | 14 |
| 1 | 18 |
3 The line passes through points A (−1, 5) and B (3, 7).
5 = −m + b −5 = m − b
7 = 3m + b 7 = 3m + b
2 = 4m m = ½ b = 11/2
y= ½x + 11/2
| x | y = ½x + 11/2 |
|---|---|
| 0 | −1 |
| 1 | −2 |
4 The line passes through point P (2, −3) and is parallel to the line y = −x + 7.
m = −1
−3 = − 1 · (−2) + b b = − 1
y = −x −1
| x | y = −x −1 |
|---|---|
| 0 | −1 |
| 1 | −2 |
