Results 1 to 2 of 2

Math Help - Finding an Equation of a Line

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    7

    Question Finding an Equation of a Line

    Find an equation in standard form of the line containing point P and having slope m.

    1. P(2,1), m=2/3

    2. P(-3,3), m=-4/3

    Find an equation in standard form of the line having slope m and y-intercept b.

    1. m=1, b=-3

    2. m=-0.8, b=1.4

    Find an equation in standard form of the line containing the given points.


    1. (3,-2), (2,-3)

    2. (4,-5), (1,-4)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A riddle wrapped in an enigma
    masters's Avatar
    Joined
    Jan 2008
    From
    Big Stone Gap, Virginia
    Posts
    2,551
    Thanks
    12
    Awards
    1
    Quote Originally Posted by mjp1991 View Post
    Find an equation in standard form of the line containing point P and having slope m.

    1. P(2,1), m=2/3

    Standard form: ax + by = c

    First, use the point-slope form to get an equation: y - y_1 = m(x - x_1).
    Then rearrange the equation to standard form.

    y - 1 = 2/3(x - 2)
    3y - 3 = 2x - 4
    -2x + 3y = -1
    2x - 3y = 1

    2. P(-3,3), m=-4/3

    This is done just like #1. See if you do it.

    Find an equation in standard form of the line having slope m and y-intercept b.

    1. m=1, b=-3

    First, use the slope-intercept form to get an equation: y = mx + b
    Then rearrange the equation to standard form.

    y = 1x - 3
    -x + y = -3
    x - y = 3

    2. m=-0.8, b=1.4

    Just like #1

    Find an equation in standard form of the line containing the given points.

    1. (3,-2), (2,-3)

    First, find the slope using m=\frac{y_2-y_1}{x_2-x_1}

    m=\frac{-3-^{-}2}{2-3}=\frac{-1}{-1}=1

    Next, use y = mx + b, use point (3, -2) and slope of 1 to find y-intercept b and to get an equation.

    y = mx + b
    -2 = 1(3) + b
    -2 = 3 + b
    -5 = b

    Equation is y = x -5

    Change to standard form:

    -x + y = -5
    x - y = 5



    2. (4,-5), (1,-4)

    Work it just like #1
    ..
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding equation for a line?
    Posted in the Pre-Calculus Forum
    Replies: 11
    Last Post: February 2nd 2010, 03:50 PM
  2. Finding the equation of the line.....
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: July 5th 2009, 03:55 AM
  3. Finding the equation of a line
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: January 31st 2009, 11:48 AM
  4. Finding equation of a line
    Posted in the Math Topics Forum
    Replies: 3
    Last Post: September 28th 2008, 07:14 AM
  5. Finding an equation of a line
    Posted in the Geometry Forum
    Replies: 1
    Last Post: April 14th 2007, 01:17 AM

Search Tags


/mathhelpforum @mathhelpforum