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Understanding Slope-Intercept Form: Equations, Slope, and Y-Intercept

This resource covers the essentials of slope-intercept form in algebra. Learn how to rearrange equations to isolate 'y' and express them in the form y = mx + b, where m represents the slope and b the y-intercept. Multiple examples and classwork instructions guide you through the process of finding both the slope and y-intercept for various equations. Mastering this concept is crucial for solving linear equations and understanding their graphical representation.

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Understanding Slope-Intercept Form: Equations, Slope, and Y-Intercept

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  1. Topic: Slope Intercept Form Vocabulary: Slope intercept form means write the y on one side of the equal sign and everything else on the other side. example: y = 2x + 4 y = x + slope y-intercept

  2. Example One.Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept. -3 - 3 +4 +4 -2x -2x -x -x slope is -2 slope is -1 y-intercept is -3 y-intercept is 4

  3. Classwork One Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept.

  4. Example Two.Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept. + 6 +6 -6 - 6 -9x - 9x -4x -4x ÷2 ÷2 ÷2 ÷3 ÷3 ÷3 slope is -2 slope is -3 y-intercept is -3 y-intercept is 2

  5. Classwork One Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept.

  6. Example Three. • Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept. + 6 + 6 +5x +5x ÷3 ÷3 ÷3 slope is y-intercept is 2

  7. Classwork Three Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept.

  8. Example Four. • Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept. x +3 y + = 30 5 5x +15 -5x -5x - 15 -15 slope is -5 y-intercept is 15

  9. Classwork Four Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept.

  10. Example Five. • Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept. ÷(-1) ÷(-1) ÷(-1) ÷3 ÷3 ÷3

  11. Classwork Five Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept.

  12. Example Six. • Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept. - 4 -4 -2x -2x ÷3 ÷3 ÷3 y-intercept is -4/3

  13. Classwork Six Instructions: Write the equation in slope intercept form. Find the slope and the y-intercept.

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