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Graphing Linear Functions and Equations, Study notes of Mathematics

Mathematics

The basics of graphing linear functions and equations, including finding the slope and y-intercept, writing equations in slope-intercept and point-slope form, and identifying the appropriate form to use based on the given information. Several practice problems for students to apply these concepts, covering topics such as graphing linear functions, writing equations in different forms, and determining the appropriate equation form to use. The detailed explanations and step-by-step examples make this document a valuable resource for students learning about linear functions and equations, particularly in an algebra 1 or similar mathematics course.

Typology: Study notes

2023/2024

Uploaded on 05/15/2024

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Algebra 1 Name:_____________________
Assignment:________________
Graph a linear function.
1. f(x) = 3x - 12. g(x) = ½x + 4 3. h(x) = -4x - 5
m = ____ b = ____ m = ____ b = ____ m = ____ b = ____
Write the equation of the line described below in slope-intercept form.
4. m = 6, b = -2 5. m = ½, b = 3 6. m = -5, b = 9
Identify the slope and y-intercept of the line. Then write the equation in slope-intercept form.
7. 8. 9. 10.
m = ______ b = ______ m = _____ b = _____ m = _____ b = _____ m = _____ b = _____
equation:______________ equation:____________ equation:_______________ equation:____________
5.1-5.3
Quiz
IMPORTANT INFORMATION THAT I PROMISE I WILL MEMORIZE FOR THE QUIZ!!!!!
Slope is equal to ______________________ over ______________________
The Slope equation is m = ___________________________
Slope-Intercept form looks like:________________________________________
“m” stands for the _________________ and “b” stands for the ________________________
and the y-intercept is where my line crosses the _______________________
Point-Slope form looks like:________________________________________
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Download Graphing Linear Functions and Equations and more Study notes Mathematics in PDF only on Docsity!

Algebra 1 Name:_____________________ Assignment:________________ Graph a linear function.

  1. f ( x ) = 3 x - 1 2. g ( x ) = ½ x + 4 3. h ( x ) = -4 x - 5 m = ____ b = ____ m = ____ b = ____ m = ____ b = ____ Write the equation of the line described below in slope-intercept form.
  2. m = 6, b = -2 5. m = ½, b = 3 6. m = -5, b = 9 Identify the slope and y-intercept of the line. Then write the equation in slope-intercept form.

m = ______ b = ______ m = _____ b = _____ m = _____ b = _____ m = _____ b = _____ equation:______________ equation:____________ equation:_______________ equation:____________

Quiz

IMPORTANT INFORMATION THAT I PROMISE I WILL MEMORIZE FOR THE QUIZ!!!!!

Slope is equal to ______________________ over ______________________ The Slope equation is m = ___________________________ Slope-Intercept form looks like:________________________________________ “ m” stands for the _________________ and “b” stands for the ________________________ and the y-intercept is where my line crosses the _______________________ Point-Slope form looks like:________________________________________

11****. Give the letter of the equation that matches the graph. A. y = x B. y = 2 x – 3 C. y = - x D. y =

3 x + 2

Write the equation of the line in Point-Slope Form.

  1. (-1, 6); m = 5 13. (-4, -9); m= 2 14. (2, -3); m = 7 15. (-8, 1); m = − 3 4 Write in point-slope form the equation of the line that passes through the given point and has the given slope. Then rewrite the equation in slope-intercept form.
  2. (10, 3); m = -2 17. (8, 6); m = ½

point-slope form point-slope form

Slope-intercept form Slope-intercept form

  1. (-9, 6); m = 1 (^3) 19. (3, 4); m = 0

point-slope form point-slope form

Slope Intercept :_____________________ Slope Intercept :_____________________

    m = ______ m = ______ Point-Slope:________________________ Point-Slope:________________________ Slope Intercept :_____________________ Slope Intercept :_____________________ Decide which form of a linear equation to use: Point-Slope form or Slope-Intercept form?
  2. A line passes through the point (2, 8) and has a slope of 2.
  3. A line passes through the points (2, 4) and (5, 8).
  4. A line has a slope of 2 and a y-intercept of -3. Answers 1- 3. See Graphs 4. y = 6x – 2 5. y = ½ x + 3 6. y =-5x + 9
  5. y = 2x+3 8. y = x + 4 9. y = -4x + 1 10. y = 5x + 4 11. B, D, A, C
  6. y – 6 = 5(x + 1) 13. y + 9 = 2(x + 4) 14. y + 3 = 7(x – 2)
  7. y – 1 =

4 (x + 8) 16. y = -2x + 23 17. y = ½ x + 2 18. y =

3 x + 9

  1. y = 4 20. y = x + 6 21. y =

2 x + 3 22. y = -x + 13 23. y = 2x + 2

  1. y = 3x – 10 35. y =

x −

5 36. y =

x −

3 37. y = -5x + 7

  1. Point-Slope 39. Point-Slope 40. Slope-Intercept