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Math 71A

Math 71A. 2.4 – Linear Functions and Slope. The above graph of points is called a ________________________ .

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Math 71A

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  1. Math 71A 2.4 – Linear Functions and Slope

  2. The above graph of points is called a ________________________. The line that best fits the data points is called a ____________________________, and is used to model the relationship between two variables (in this case, hours of sleep and test scores). The above regression line can be represented by the following equation, which is in _______________________ (that is, the form ): (Source: I made it up.)

  3. The above graph of points is called a ________________________. The line that best fits the data points is called a ____________________________, and is used to model the relationship between two variables (in this case, hours of sleep and test scores). The above regression line can be represented by the following equation, which is in _______________________ (that is, the form ): (Source: I made it up.) scatter plot

  4. The above graph of points is called a ________________________. The line that best fits the data points is called a ____________________________, and is used to model the relationship between two variables (in this case, hours of sleep and test scores). The above regression line can be represented by the following equation, which is in _______________________ (that is, the form ): (Source: I made it up.) scatter plot

  5. The above graph of points is called a ________________________. The line that best fits the data points is called a ____________________________, and is used to model the relationship between two variables (in this case, hours of sleep and test scores). The above regression line can be represented by the following equation, which is in _______________________ (that is, the form ): (Source: I made it up.) scatter plot regression line

  6. The above graph of points is called a ________________________. The line that best fits the data points is called a ____________________________, and is used to model the relationship between two variables (in this case, hours of sleep and test scores). The above regression line can be represented by the following equation, which is in _______________________ (that is, the form ): (Source: I made it up.) scatter plot regression line

  7. The above graph of points is called a ________________________. The line that best fits the data points is called a ____________________________, and is used to model the relationship between two variables (in this case, hours of sleep and test scores). The above regression line can be represented by the following equation, which is in _______________________ (that is, the form ): (Source: I made it up.) scatter plot regression line standard form

  8. Intercepts The -coordinate of a point where graph intersects -axis is called an _________________________. The -coordinate of a point where graph intersects -axis is called a _________________________.

  9. Intercepts -intercept is 6 The -coordinate of a point where graph intersects -axis is called an _________________________. The -coordinate of a point where graph intersects -axis is called a _________________________. -intercept

  10. Intercepts -intercept is 6 The -coordinate of a point where graph intersects -axis is called an _________________________. The -coordinate of a point where graph intersects -axis is called a _________________________. -intercept is -2 -intercept -intercept

  11. What do all points on the -axis have in common? What do all points on the -axis have in common?

  12. What do all points on the -axis have in common? What do all points on the -axis have in common? They all have a -coordinate of 0.

  13. What do all points on the -axis have in common? What do all points on the -axis have in common? They all have a -coordinate of 0. They all have an -coordinate of 0.

  14. How to graph a linear equation 1. Find -intercept (let ___________ and solve for ). 2. Find -intercept (let ___________ and solve for ). 3. Find a checkpoint (a third point). 4. Plot the 3 points and draw a line through them.

  15. How to graph a linear equation 1. Find -intercept (let ___________ and solve for ). 2. Find -intercept (let ___________ and solve for ). 3. Find a checkpoint (a third point). 4. Plot the 3 points and draw a line through them.

  16. How to graph a linear equation 1. Find -intercept (let ___________ and solve for ). 2. Find -intercept (let ___________ and solve for ). 3. Find a checkpoint (a third point). 4. Plot the 3 points and draw a line through them.

  17. Ex 1.Graph .

  18. Ex 1.Graph .

  19. Ex 1.Graph .

  20. Ex 1.Graph .

  21. Ex 1.Graph .

  22. Slope of a Line ______________ is a measure of the steepness of a line. The calculation to find the slope of a line is: (where and are two points on the line, and represents slope).

  23. Slope of a Line ______________ is a measure of the steepness of a line. The calculation to find the slope of a line is: (where and are two points on the line, and represents slope). Slope

  24. Slope of a Line ______________ is a measure of the steepness of a line. The calculation to find the slope of a line is: (where and are two points on the line, and represents slope). Slope

  25. Slope of a Line

  26. Ex 2.Find the slope of the line passing through and .

  27. Ex 3.

  28. Ex 3.

  29. Ex 3.

  30. Ex 3. slope is positive

  31. Ex 3. slope is positive

  32. Ex 3. slope is positive

  33. Ex 3. slope is positive

  34. Ex 3. slope is positive

  35. Ex 3. slope is positive slope is negative

  36. Ex 3.

  37. Ex 3. slope is 0

  38. Ex 3. slope is 0 slope is undefined

  39. is called ____________________of a linear equation. (here is the slope, and is the -intercept) Ex 5.Give the slope and -intercept for the line whose equation is .

  40. is called ____________________of a linear equation. (here is the slope, and is the -intercept) Ex 4.Give the slope and -intercept for the line whose equation is . slope-intercept form

  41. How to graph a linear equation 1. Plot . 2. Use slope to get a second point. 3. Draw line through the two points.

  42. Ex 5.Graph .

  43. Ex 5.Graph . -intercept

  44. Ex 5.Graph . -intercept

  45. slope Ex 5.Graph . -intercept

  46. rise slope Ex 5.Graph . run -intercept

  47. rise slope Ex 5.Graph . run -intercept

  48. rise slope Ex 5.Graph . run -intercept

  49. rise slope Ex 5.Graph . run -intercept

  50. Ex 6.Graph .

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