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    Slope of a Line Equation

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    1. If line / goes through (1,3) and is parallel to the line through (4,3) and (-3,1). find the slope of /.

    2. How do I write the equation y=2/3x-3 in standard form using only integers and a positive coefficient for x.

    3. What is the equation if a line /goes through (-3,-1) and
    (-1,4)?

    4. What is the equation in slope-intercept form) of the line that goes through
    (-1,2) and has slope 4?

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    https://brainmass.com/math/graphs-and-functions/slope-line-equation-257675

    Solution Preview

    1. if line / goes through (1,3) and is parallel to the line through (4,3) and (-3,1). find the slope of /.
    Answer -
    Slope of the line passes through two points P(x1 , y1 ) and Q (x2 , y2 ) is given by—
    Slope=
    Here, we have given two end points (4,3) and (-3,1) of a line.
    Let us assume that slope of the line through (4,3) and (-3,1) is m1.
    Thus, slope (m1) of the given line (4,3) and (-3,1) is ---
    Slope (m1) = (1-3)/(-3-4))
    which is equal to—
     -2/ -7
     2/7
     2/7
    m1=2/7
    According to the theorem, two lines are parallel if and only if they have equal slope
    Thus, the ...

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