8th Grade Math Test Prep: Slope Questions and Solutions

📚 Quick Study Guide

• 📈 Definition of Slope: Slope measures the steepness and direction of a line. It's often referred to as "rise over run".
• 🔢 Slope Formula: Given two points $(x_1, y_1)$ and $(x_2, y_2)$, the slope ($m$) is calculated as: $m = \frac{y_2 - y_1}{x_2 - x_1}$.
• 🧭 Positive Slope: A line that rises from left to right has a positive slope.
• 📉 Negative Slope: A line that falls from left to right has a negative slope.
• ↔️ Zero Slope: A horizontal line has a slope of zero. The equation is in the form $y = b$.
• ↕️ Undefined Slope: A vertical line has an undefined slope. The equation is in the form $x = a$.
• 💡 Slope-Intercept Form: The equation of a line is often written as $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

📝 Practice Quiz

1. What is the slope of a line that passes through the points (2, 3) and (4, 7)?
   1. -2
   2. 2
   3. 1/2
   4. -1/2
2. A line has the equation $y = 3x - 5$. What is the slope of the line?
   1. -5
   2. 3
   3. -3
   4. 5
3. What is the slope of a horizontal line?
   1. Undefined
   2. 1
   3. 0
   4. Any number
4. What is the slope of a line that passes through the points (-1, 2) and (2, 2)?
   1. 0
   2. Undefined
   3. 1
   4. -1
5. A line has the equation $y = -2x + 4$. What is the slope of the line?
   1. 4
   2. 2
   3. -2
   4. -4
6. What is the slope of a vertical line?
   1. 0
   2. 1
   3. Undefined
   4. -1
7. What is the slope of a line that passes through the points (1, 5) and (3, 1)?
   1. 2
   2. -2
   3. -1/2
   4. 1/2