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Slope Intercept Form

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Title: Slope Intercept Form


1
Slope Intercept Form
2
Slope Intercept Form
  • Slope Intercept Form of an equation gives you a
    quick way to graph an equation

3
Slope Intercept Form
  • The slope-intercept form of a linear equation
    is
  • y mx b

4
What are the slope and y intercept?
  • y 3x - 5

Is the above equation in slope intercept form?
How can we put it in slope intercept form?
y 3x (-5) y mx b
y 3x 5 y 3x (-5)
Can we now determine the slope?
________ Can we determine the y intercept?
________
Can we now determine the slope?
3 Can we determine the y intercept? ________
Can we now determine the slope?
3 Can we determine the y intercept? -5
5
Practice Find the slope y-intercept
  • y -2x 1

y -2x 1 y mx b (Slope) m
-2 (y-intercept) b 1
6
Practice Find the slope y-intercept
  • y (7/6)x (3/4)

y (7/6)x (-3/4) y mx b (Slope) m
(7/6) (y-intercept) b (-3/4)
7
Practice Find the slope y-intercept
  • y (-4/5)x

y (-4/5)x y mx b (Slope) m
(-4/5) (y-intercept) b 0
8
Writing an EquationWrite an equation of the
line
  • Slope (-3) Y-intercept 4

Slope (-3) Y-intercept 4
Substitute
y mx b
y (-3)x 4
9
Writing an EquationWrite an equation of the
line
  • Slope (3/8) Y-intercept 6

Slope (3/8) Y-intercept 6
Substitute
y mx b
y (3/8)x 6
10
Can I Develop An Equation?
What do I need to create an equation of the line?
Slope Y-intercept
Slope -1 Y-intercept 8
y x 8
11
Can I Develop An Equation?Practice
Step 1 Find the slope Pick two points on the
line. (6,2) and (9,1) 2-1/6-9 -1/3
Step 2 Find y-intercept
Step 3 Substitute y (-1/3)x 4
12
Graphing Equations
  • Graph y 3x - 1

What information can we pull from the above
equation?
Can you use that information to graph the
equation? Try it!!
13
Graphing Equations
  • Graph y (3/2)x 1

14
Questions?
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