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Understanding Slope-Intercept Form and Graphing Techniques

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This educational content covers the essentials of slope-intercept form (y = mx + b) and graphing straight lines. It defines key concepts such as x-intercepts and y-intercepts, explaining how these are determined from the graph. The slope, characterized as rise over run, is also defined with examples. It demonstrates how to convert standard form equations into slope-intercept form, explores parallel lines, and provides practice exercises for finding intercepts. This material is ideal for students learning to graph linear equations.

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Understanding Slope-Intercept Form and Graphing Techniques

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    1. Slope Intercept Form & Graphing

    2. Definition - Intercepts The x-intercept of a straight line is the x-coordinate of the point where the graph crosses the x-axis. The y-intercept of a straight line is the y-coordinate of the point where the graph crosses the y-axis.

    4. y = mx + b

    5. Slope is Rise over Run.

    7. Finding the slope and y-intercept State the slope and y-intercept of: y = 3x + 2

    8. Up/Down Left/Right The slope is 3 or 3/1 which means up 3 and right 1.

    9. y = 3x + 2

    10. When am I ever going to use this?

    11. y = -2x + 3

    12. y = 3x -2

    13. y = 3x -2

    14. Changing equations to the form y = mx + b When equations are in the form ax + by = c, then you need to change them to y = mx + b

    15. Changing equations to the form y = mx + b

    16. 2x + 4y = 8 changed to y = -1/2x + 2

    17. Now you change 2x + 3y = 6 to y = mx + b

    18. 2x + 3y = 6 changed to y = -2/3x + 2

    19. Parallel Lines

    20. y = 3x + 4 and y = 3x - 2

    21. What if there is no constant? If you have a problem like: y = 3x

    22. Hints If y = x + 3,the coefficient of x is 1, so the slope is 1/1. If you do not have room to graph a slope of 2/1 you can use the equivalent fraction -2/-1

    23. Naming sloping lines

    26. Sloping lines with different gradients.

    32. Exercise 12F page 192 Impact mathsExercise 12F page 192 Impact maths

    33. Pupils copy down box information on interceptPupils copy down box information on intercept

    34. Exercise 12G p 194 question 1 Finding the intercepts of linesExercise 12G p 194 question 1 Finding the intercepts of lines

    35. Graphs in all 4 quadrants

    36. Finding m and c

    37. Another example

    38. Plenary: Assessing ourselves

    39. Key Skills

    40. Key Skills

    41. Key Skills

    42. Key Skills

    43. Key Skills

    44. Key Skills

    45. Key Skills

    46. Key Skills

    47. Key Skills

    48. Key Skills

    51. Slope Intercept Form & Graphing

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