More Review of Slope Defining Slope

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More Review of SlopeDefining Slope

• There are 4 Types of Slopes
• Negative Slope
• Positive Slope
• Horizontal Line Slope
• Vertical Line Slope

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Negative Slope

• Lines decrease as it moves to the right on the x
  axis.

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Positive Slope

• Line increases as it moves to the right on the x
  axis.

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Horizontal Line Slope

• The slope of the line is always zero.
• The line is always flat.
• The equation of the line is always xsome number.
  

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Vertical Line Slope

• The slope of the line is always undefined.
• The line is always straight up and down.
• The equation of the line is always ysome number.
  

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Warm Up

• Find the slope of the line that contains each
  pair of points.
• (3, 6) (1, 12)
• (0, -2) (-6, -2)
• Complete each ordered pair so that it is a
  solution of the equation y -2x 3.
• (2, ?)
• (? , 11)

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Notes 5.4 The Slope Intercept Form

• Define and explain the component of the
  slope-intercept form of a linear equation
• Use the slope-intercept form of a linear equation

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Slope Intercept Form
The slope intercept form for a line with a
slope of m and a y-intercept of b is
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Reminders
yintercept is the y-value of the point where the
line crosses the y-axis.
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Example 1
A cylindrical storage silo is filled with grain
to a height of 5 feet. The silo is then filled
with more grain so that the height rises at a
constant rate of 2 feet per minute. The equation
y 2x 5 expresses the height in feet of the
grain, y, after the silo has been filling for x
minutes. Use the slope intercept form to
graph the equation.
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Solution
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Example 2

• Write an equation in slope intercept form for
  the line that passes through the points (-4, 7)
  and (10, 0).

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Example 3

• Identify the
• x- and y- intercepts,
• and use them to
• graph the following
• line.

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Equations of Horizontal and Vertical Lines

• The equation of a horizontal line is y b, where
  b is the yintercept.
• The equation of a vertical line is x a,
  where a is the x-intercept.

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Example 4

• Write an equation for each line.

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Homework 4

• p. 249 250 (12 38 even)