Podcast
Play an AI-generated podcast conversation about this lesson
Questions and Answers
What is the equation of the line that passes through the points (0, 4) and (-2, -5)?
What is the equation of the line that passes through the points (0, 4) and (-2, -5)?
y = (9/2)x + 4
Study Notes
Finding the Equation of a Line
- Points given: (0, 4) and (-2, -5)
- Find the slope (m): m = (y₂ - y₁) / (x₂ - x₁) = (-5 - 4) / (-2 - 0) = -9 / -2 = 9/2
- Use the point-slope form: y - y₁ = m(x - x₁) Using point (0, 4): y - 4 = (9/2)(x - 0)
- Simplify to slope-intercept form (y = mx + b): y - 4 = (9/2)x y = (9/2)x + 4
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz focuses on determining the equation of a line given two points. You will learn to find the slope and convert the point-slope form into the slope-intercept form. Test your understanding of linear equations with practical examples.
