matthew473
matthew473 14h ago • 0 views

graphing linear equations quiz

Hey there! 👋 Getting ready to ace that linear equations quiz? I've got you covered! Here's a quick study guide to refresh your memory, followed by a practice quiz to test your skills. Good luck!🍀
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samantha_lewis Dec 27, 2025

📚 Quick Study Guide

  • 📈 Slope-Intercept Form: A linear equation can be written as $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.
  • 🧭 Slope: The slope ($m$) represents the rate of change of $y$ with respect to $x$. It can be calculated as $m = \frac{y_2 - y_1}{x_2 - x_1}$ given two points $(x_1, y_1)$ and $(x_2, y_2)$.
  • 📍 Y-Intercept: The y-intercept ($b$) is the point where the line crosses the y-axis (when $x = 0$).
  • ↔️ X-Intercept: The x-intercept is the point where the line crosses the x-axis (when $y = 0$). To find it, set $y = 0$ in the equation and solve for $x$.
  • 📐 Point-Slope Form: Another form of a linear equation is $y - y_1 = m(x - x_1)$, where $m$ is the slope and $(x_1, y_1)$ is a point on the line.
  • ✍️ Standard Form: A linear equation can also be written in standard form as $Ax + By = C$, where A, B, and C are constants.
  • Parallel Lines: Parallel lines have the same slope.
  • Perpendicular Lines: Perpendicular lines have slopes that are negative reciprocals of each other (i.e., $m_1 * m_2 = -1$).

🧪 Practice Quiz

  1. What is the slope of the line $y = 3x - 2$?
    1. A) -2
    2. B) 2/3
    3. C) 3
    4. D) -3
  2. What is the y-intercept of the line $y = -2x + 5$?
    1. A) -2
    2. B) 5
    3. C) 2
    4. D) -5
  3. Which equation represents a line with a slope of 2 and passing through the point (1, 4)?
    1. A) $y = 2x + 4$
    2. B) $y = 2x + 2$
    3. C) $y = x + 4$
    4. D) $y = 2x + 1$
  4. What is the equation of a line passing through points (0, 2) and (1, 5)?
    1. A) $y = 2x + 3$
    2. B) $y = 3x + 2$
    3. C) $y = 5x + 2$
    4. D) $y = 3x + 5$
  5. What is the x-intercept of the line $y = 4x - 8$?
    1. A) 2
    2. B) -2
    3. C) 4
    4. D) -8
  6. Which of the following lines is parallel to $y = -x + 3$?
    1. A) $y = x + 3$
    2. B) $y = -x - 1$
    3. C) $y = 2x + 3$
    4. D) $y = -2x + 3$
  7. Which of the following lines is perpendicular to $y = 2x - 1$?
    1. A) $y = 2x + 1$
    2. B) $y = -2x - 1$
    3. C) $y = -\frac{1}{2}x + 3$
    4. D) $y = \frac{1}{2}x - 1$
Click to see Answers
  1. C) 3
  2. B) 5
  3. B) $y = 2x + 2$
  4. B) $y = 3x + 2$
  5. A) 2
  6. B) $y = -x - 1$
  7. C) $y = -\frac{1}{2}x + 3$

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