Slope Powerpoint

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Slope Powerpoint

  1. 2. We have already seen that linear equations have two variables and when we plot all the (x,y) pairs that make the equation true we get a line . In this section, instead of making a table, evaluating y for each x, plotting the points and making a line, we will use The Slope-Intercept Form of the equation to graph the line.
  2. 3. These equations are all in Slope-Intercept Form: Notice that these equations are all solved for y.
  3. 4. Just by looking at an equation in this form, we can draw the line (no tables). <ul><li>The constant is the y-intercept. </li></ul><ul><li>The coefficient is the slope . </li></ul>Constant = 1, y-intercept = 1. Coefficient = 2, slope = 2. Constant = -4, y-intercept = -4. Coefficient = -1, slope = -1. Constant = -2, y-intercept = -2. Coefficient = 3/2, slope = 3/2.
  4. 5. The formula for Slope-Intercept Form is: <ul><li>‘ b’ is the y-intercept . </li></ul><ul><li>‘ m’ is the slope . </li></ul>On the next three slides we will graph the three equations: using their y-intercepts and slopes.
  5. 6. 1) Plot the y-intercept as a point on the y-axis. The constant, b = 1, so the y-intercept = 1. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = 2, so the slope = 2/1. up 2 right 1 up 2 right 1
  6. 7. 1) Plot the y-intercept as a point on the y-axis. The constant, b = -4, so the y-intercept = -4. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = -1, so the slope = -1/1. right 1 down 1 right 1 down 1
  7. 8. 1) Plot the y-intercept as a point on the y-axis. The constant, b = -2, so the y-intercept = -2. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = 3/2, so the slope = 3/2. right 2 up 3 right 2 up 3
  8. 9. <ul><li>Sometimes we must solve the equation for y before we can graph it. </li></ul>The constant, b = 3 is the y-intercept. The coefficient, m = -2 is the slope.
  9. 10. 1) Plot the y-intercept as a point on the y-axis. The constant, b = 3, so the y-intercept = 3. 2) Plot more points by counting the slope up the numerator (down if negative) and right the denominator. The coefficient, m = -2, so the slope = -2/1. right 1 down 2 right 1 down 2
  10. 11. The slope-intercept form of an equation gives you a quick way to graph the equation. Find y -intercept, use it to plot point where line crosses y -axis. Find slope, use it to plot a second point on line. Draw line through points. Write equation in slope-intercept form by solving for y . Click on the controller to practice G RAPHING E QUATIONS IN S LOPE- I NTERCEPT F ORM S LOPE- I NTERCEPT F ORM STEP 1 STEP 2 STEP 3 STEP 4

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