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Solving Linear Equations in y=mx+b Form from Data Table

This tutorial guides you through finding the equation of a line in the y=mx+b form using given data with step-by-step instructions. You'll learn how to calculate the slope, identify the y-intercept, and solve for the final equation. Practice examples included.

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Solving Linear Equations in y=mx+b Form from Data Table

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Presentation Transcript

  1. Slope-Intercept From3

  2. Goal • Given a table of data, find an equation of the line in the y=mx+b form.

  3. Step 1 Write original equation: y=mx+b

  4. Step 2 • Find the slope. Pick two points and plug them into .

  5. Step 3 • Plug the slope in for m into y=mx+b

  6. Step 4 • Check to see if x=0 is a point. If so, that y-value is the y intercept. Plug that number in for b.

  7. Step 5 • Of x=0 is NOT a point, then we must find b. Pick any point from the list and plug it in for x and y. Then solve for b. • Plug b into final equation.

  8. Example 1

  9. You try!

  10. Example 2

  11. You try

  12. Homework • Back of in-class examples

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