Slope Vocabulary

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Author:
chawkins32
ID:
71324
Filename:
Slope Vocabulary
Updated:
2011-03-07 15:25:00
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Slope vocabulary
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Description:
How slope is related to each term.
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  1. Horizontal line
    zero slope

    0/run
  2. Vertical line
    undefined slope

    rise/0
  3. Slope
    rise/run

    the measure of the steepness of a line
  4. Point-Slope Form
    y - y1 = m(x - x1)

    m is the slope of the line

    (x1,y1) are the coordinates of the point the line goes through
  5. Slope-Intercept Form
    y = mx + b

    m is the slope of the line

    b is the y-intercept
  6. Standard Form of a Linear Equations
    Ax + By = C

    Slope
    is not given by this form directly.

    • You must solve the equation for y =,
    • then m = -A/B.
  7. Slope Formula
    • y2 - y1 = m
    • x2 - x1

    This is the formula to find the slope of a line given two points.
  8. Parallel lines
    Parallel lines are two lines that never intersect.

    Their slopes are equal.
  9. Perpendicular Lines
    Perpendicular lines are two lines that intersect at right angles.

    Their slopes are opposite reciprocals of each other.

    The product of their slopes equals -1.
  10. What is the slope of y = -3x + 4?
    m = -3
  11. What is the slope of x = 5?
    Undefined slope

    The line is vertical.
  12. What is the slope of a line parallel to
    y = 2x - 7?
    m = 2

    The slopes are the same.
  13. What is the slope of
    4x + 3y = 12?
    m = -4/3

    The equation is y = -4/3 x + 4
  14. What is the slope of y = -11?
    zero

    The line is horizontal.
  15. What is the slope of a line with the equation:
    y + 4 = 0.5(x + 3)?
    m = 0.5

    The line goes through (-3, -4).
  16. What is the slope of a line perpendicular to 4x - 3y = 15?
    The slope of this line is 4/3, so the perpendicular slope is the opposite reciprocal: -3/4.
  17. What is the slope of a line through
    (-2, 4) and (0, -3)?
    • -3 - 4 = -7 = m
    • 0 - -2 2

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