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Slope & Slope-Intercept Equations

Slope & Slope-Intercept Equations. IN LAYMAN’S TERMS:. Slope is the measure of the steepness of a line!. HOW IT’S FIGURED:. VERTICAL CHANGE. ___________________. STEEPNESS =. HORIZONTAL CHANGE. **OR**. Change in Y-axis. ___________________. SLOPE (m) =. Change in X-axis. Steps.

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Slope & Slope-Intercept Equations

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  1. Slope & Slope-Intercept Equations

  2. IN LAYMAN’S TERMS: Slope is the measure of the steepness of a line!

  3. HOW IT’S FIGURED: VERTICAL CHANGE ___________________ STEEPNESS = HORIZONTAL CHANGE **OR** Change in Y-axis ___________________ SLOPE (m) = Change in X-axis

  4. Steps • Determine Point 1 & 2 • Label x1, y1, x2, y2 • Substitute in the formula:

  5. WORK TIME! Find the slope of a line that contains points A(-2, 5) B(4, -5)

  6. HERE’S HOW YOU SOLVE IT: Change in Y-axis ___________________ SLOPE (m) = Change in X-axis 5 – (-5) ___________________ m of line AB = -2 - 4 10 ___________________ = -6 5 ___________ - = 3

  7. NOW TRY THESE ON YOUR OWN Find the slope of a line that contains each pair of points: • R(9, -2) S(3, -5) • M(7, -4) N(9, 4)

  8. True or False?? ALL HORIZONTAL LINES HAVE THE SAME SLOPE

  9. THE ANSWER! #1: All horizontal lines have the same slope. TRUE

  10. TWO LINES MAY HAVE THE SAME SLOPE

  11. THE ANSWER! #2: Two lines may have the same slope. TRUE

  12. A LINE WITH A SLOPE OF 1 PASSES THROUGH THE ORIGIN

  13. THE ANSWER! #3: A line with a slope of 1 passes through the origin. FALSE

  14. Use the Slope to Graph a Line • You will need an ordered pair and the slope • Graph the line that passes through (1,4) and has a slope .

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