Slope Intercept Graphing Worksheet
Algebra I • Linear Functions
Name: Date: Period:
Slope-Intercept Graphing
Page 1 of 5
\(y = mx + b\) \(m\) = Slope (\(\frac{\text{rise}}{\text{run}}\)) • \(b\) = \(y\)-intercept \((0, b)\)
Plot \(b\) → Use \(m\) for next point → Draw line
1 \(y = 2x - 3\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
2 \(y = -x + 4\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
3 \(y = \frac{1}{2}x + 1\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
4 \(y = -\frac{3}{2}x + 2\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
Each grid unit = 1. Extend lines across the entire grid and add arrowheads to both ends. Page 1
Slope-Intercept Graphing Worksheet
Name: Page 2 of 5
5 \(y = 3x\)
Notice \(b = 0\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
6 \(y = -\frac{2}{3}x - 1\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
7 \(y = \frac{3}{4}x - 2\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
8 \(y = -2x + 5\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
Pro-Tip: When an integer slope like \(-2\) is given, write it as a fraction: \(\frac{-2}{1}\) (down 2, right 1).
Page 2
Slope-Intercept Graphing Worksheet
Name: Page 3 of 5
9 \(y = x - 4\)
Slope is \(1\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
10 \(y = -3x - 2\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
11 \(y = \frac{2}{5}x + 3\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
12 \(y = 4\)
Horizontal line
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
Pro-Tip: The equation \(y = 4\) can be written as \(y = 0x + 4\). Its slope is \(0\) and the graph is a flat horizontal line!
Page 3
Slope-Intercept Graphing Worksheet
Name: Page 4 of 5
13 \(y = -\frac{1}{3}x + 2\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
14 \(y = \frac{5}{3}x - 3\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
15 \(y = -x - 3\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
16 \(y = \frac{1}{4}x - 1\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
Direction Rule: Rise is positive ↑ (up) and negative ↓ (down). Run is always positive → (right).
Page 4
Slope-Intercept Graphing Worksheet
Name: Page 5 of 5
17 \(y = 4x - 5\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
18 \(y = -\frac{4}{3}x + 1\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
19 \(y = -5\)
Horizontal line
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
20 \(y = -\frac{5}{2}x + 4\)
Slope (\(m\)):
\(y\)-int (\(b\)):
x y -4 -2 2 4 4 2 -2 -4
First Point: \((0, \text{___})\) Second Point: \((\text{___}, \text{___})\)
Worksheet Complete: Verify that all 20 lines have straight edges, arrowheads, and pass through their plotted points!
Score: / 20
