Slope Mastery Worksheet
Algebra 1 • Linear Functions Classroom Practice
Slope & Y-Intercept Mastery
Name:
Date:
Teacher:
Score: / 20
\(y\)
Slope-Intercept Form Anchor
\(y = \boldsymbol{m}x + \boldsymbol{b}\)
\(\boldsymbol{m}\) = Slope
\(\frac{\text{rise}}{\text{run}} = \frac{\Delta y}{\Delta x}\)
\(\boldsymbol{b}\) = Y-Intercept
Crosses \(y\)-axis at \((0, b)\)
\(\nearrow\) Positive: Rises right \(\searrow\) Negative: Falls right
A Part 1: Identify Slope and Y-Intercept for Each Linear Equation
State answers as integers or simplified fractions.
1
\(y = \frac{1}{3}x - 4\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
2
\(y = \frac{7}{4}x - 3\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
3
\(y = \frac{7}{3}x + 5\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
4
\(y = -5x - 3\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
5
\(y = -\frac{5}{2}x - 1\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
6
\(y = -\frac{8}{3}x + 4\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
7
\(y = -\frac{4}{9}x - 3\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
8
\(y = -4x + 4\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
9
\(y = -3x - 3\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
10
\(y = \frac{1}{2}x + 4\)
1 pt
Slope (\(m\)):
y-intercept (\(b\)):
Key Rule: Keep the sign attached to the term (e.g., in \(y = \frac{1}{3}x - 4\), the y-intercept is \(-4\)).
Page 1 of 2
Algebra 1 • Graphing Practice
Part 2: Find the Slope of Each Line
Name: _________________
Score: _____ / 10
Slope Formula: \(m = \frac{\text{Rise}}{\text{Run}} = \frac{y_2 - y_1}{x_2 - x_1}\)
Step 1: Read marked points \((x_1, y_1)\) & \((x_2, y_2)\) • Step 2: Count vertical rise / horizontal run
x y
11 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
12 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
13 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
14 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
15 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
16 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
17 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
18 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
19 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
x y
20 Identify & solve
Points: (___, ___) & (___, ___)
Rise: _____ Run: _____
Slope (\(m\)):
Remember: Horizontal lines have \(\text{slope } = 0\); vertical lines have undefined slope.
Page 2 of 2
Slope Mastery Answer Key
Teacher Resource • Answer Key Algebra 1 • Linear Functions
Slope & Y-Intercept Answer Key
Part 1 Scoring
10 Points Total (1 pt each)
Quick-Scan Grading Matrix (Part 1) All forms: \(y = mx + b\)
#1
\(m = \frac{1}{3}\), \(b = -4\)
#2
\(m = \frac{7}{4}\), \(b = -3\)
#3
\(m = \frac{7}{3}\), \(b = 5\)
#4
\(m = -5\), \(b = -3\)
#5
\(m = -\frac{5}{2}\), \(b = -1\)
#6
\(m = -\frac{8}{3}\), \(b = 4\)
#7
\(m = -\frac{4}{9}\), \(b = -3\)
#8
\(m = -4\), \(b = 4\)
#9
\(m = -3\), \(b = -3\)
#10
\(m = \frac{1}{2}\), \(b = 4\)
1
\(y = \frac{1}{3}x - 4\)
Key
Slope (\(m\)):
\(m = \frac{1}{3}\)
y-intercept (\(b\)):
\(b = -4\) or \((0,-4)\)
2
\(y = \frac{7}{4}x - 3\)
Key
Slope (\(m\)):
\(m = \frac{7}{4}\)
y-intercept (\(b\)):
\(b = -3\) or \((0,-3)\)
3
\(y = \frac{7}{3}x + 5\)
Key
Slope (\(m\)):
\(m = \frac{7}{3}\)
y-intercept (\(b\)):
\(b = 5\) or \((0,5)\)
4
\(y = -5x - 3\)
Key
Slope (\(m\)):
\(m = -5\)
y-intercept (\(b\)):
\(b = -3\) or \((0,-3)\)
5
\(y = -\frac{5}{2}x - 1\)
Key
Slope (\(m\)):
\(m = -\frac{5}{2}\)
y-intercept (\(b\)):
\(b = -1\) or \((0,-1)\)
6
\(y = -\frac{8}{3}x + 4\)
Key
Slope (\(m\)):
\(m = -\frac{8}{3}\)
y-intercept (\(b\)):
\(b = 4\) or \((0,4)\)
7
\(y = -\frac{4}{9}x - 3\)
Key
Slope (\(m\)):
\(m = -\frac{4}{9}\)
y-intercept (\(b\)):
\(b = -3\) or \((0,-3)\)
8
\(y = -4x + 4\)
Key
Slope (\(m\)):
\(m = -4\)
y-intercept (\(b\)):
