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Lesson 2: The Equation of a Line

Lesson 2: The Equation of a Line. The Equation of a Line is: y = m x + b Where m is the slope And b is the y-intercept. Lesson 2: The Equation of a Line. Identify the slope and y-intercept for each of the following: Y = 2x – 4 y = -3x + 6 y = 9x Y = 5 – 3x y = y = 5 – 2x

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Lesson 2: The Equation of a Line

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  1. Lesson 2: The Equation of a Line The Equation of a Line is: y = mx + b Where m is the slope And b is the y-intercept

  2. Lesson 2: The Equation of a Line Identify the slope and y-intercept for each of the following: Y = 2x – 4 y = -3x + 6 y = 9x Y = 5 – 3x y = y = 5 – 2x Y = -9 + y = y = -4 - x

  3. Lesson 2: The Equation of a Line We represent slope with the letter “m”. We can write slope several different ways: m = slope Rise: The vertical distance between two points Run: The horizontal distance between two points m = m = m = m =

  4. Lesson 2: The Equation of a Line Use the graph to calculate the slope between the points (-3, -1) and (4, 3)

  5. Lesson 2: The Equation of a Line b in y = mx + b is the y-intercept. The y-interceptis the point where the line crosses the y-axis. The x-value of the y-intercept is always: The y-intercept is also known as:

  6. Lesson 2: The Equation of a Line • The equation of a line is often in the form: • Y = mx + b • When asked to write the equation of a line you must find the:

  7. Lesson 2: The Equation of a Line • Write the equation of a line with a slope of 10 and a y-intercept of -3.

  8. Lesson 2: The Equation of a Line • Determine the equation of this line.

  9. Lesson 2: The Equation of a Line • Determine the equation of this line.

  10. Lesson 2: The Equation of a Line • A line has a slope of -3 and passes through the point (2, 4). What is the equation of this line?

  11. Lesson 2: The Equation of a Line • A line has a slope of 1 and passes through the point (-6, 5). What is the equation of this line?

  12. Lesson 2: The Equation of a Line • A line has a slope of 7 and passes through the point (5, -9). What is the equation of this line?

  13. Lesson 2: The Equation of a Line • A line has a slope of - and passes through the point (8, 9). What is the equation of this line?

  14. Lesson 2: The Equation of a Line • A line has a slope of and passes through the point (4, 5). What is the equation of this line?

  15. Lesson 2: The Equation of a Line • A line has a slope of -12 and passes through the point (-6, 0). What is the equation of this line?

  16. Lesson 2: The Equation of a Line • A line has a slope of 1 and an x-intercept of 9.

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