Slope Powerpoint

Slope Powerpoint

• 1.
   
• 2.
  We have alreadyseen 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.
• 3.
  These equations areall in Slope-Intercept Form: Notice that these equations are all solved for y.
• 4.
  Just by lookingat an equation in this form, we can draw the line (no tables). The constant is the y-intercept. The coefficient is the slope . 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.
• 5.
  The formula forSlope-Intercept Form is: ‘ b’ is the y-intercept . ‘ m’ is the slope . On the next three slides we will graph the three equations: using their y-intercepts and slopes.
• 6.
  1) Plotthe 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
• 7.
  1) Plotthe 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
• 8.
  1) Plotthe 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
• 9.
  Sometimes we mustsolve the equation for y before we can graph it. The constant, b = 3 is the y-intercept. The coefficient, m = -2 is the slope.
• 10.
  1) Plotthe 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
• 11.
  The slope-intercept formof 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