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    Graphs, Equation of Line, Midpoints and Line Segments

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    1.) Find the distance between the points (4,-1) and (-5,3)
    2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12)
    3.) Graph the equation
    4.)
    5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in the form y=mx+b
    6.) Write the equation of the line passing through (5,2) and (4,-2)
    7.) Find the vertex of the graph of the parabola f(x)=-
    8.)
    9.)
    10.)
    11.)
    12.)
    3x+2if x find f(-1)

    13.) Which set of ordered pairs (x,y) define y as a function of x?
    I.)
    II.) {(5,1), (-3,4), (-3,2)}

    14.) Determine the domain of the function f(x) =
    15.) Consider all the ordered pairs shown on Graph A and all the ordered pairs shown on Graph B. Which set of ordered pairs defines a function?

    16.) The length of the base of a triangle is eight times the length of its altitude. Express the area (A) of the triangle as a function of its altitude x.

    17.) Find the slope of the line passing through the points (-1,-2) and (1,4)
    18.)

    For any two parallel lines:
    A.
    the slopes are zero
    B.
    the slopes are reciprocals
    C.
    the slopes are positive
    D.
    the slopes are equal

    19.) Find the value of x in the domain of f(x)=-2x-3 for which f(x)=3
    20.) If the quadratic function f(x)= -4x+6 is graphed the range has
    A.) a maximum value
    B.
    a minimum value
    C.
    no maximum or minimum value
    D.
    many maximum and minimum values.

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    https://brainmass.com/math/graphs-and-functions/graphs-equation-line-midpoints-line-segments-213890

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    1.) Find the distance between the points (4,-1) and (-5,3)

    D = SQRT ((X2 - X1)2 + (Y2 - Y1)2)
    = SQRT (81 + 16)
    = SQRT (97)
    = 17.5

    2.) Find the midpoint of the line segment with endpoints (5,-2) and (-3,12)

    MIDx = (X2 - X1)/2
    = (-3 - 5)/2
    = -4

    MIDy = (Y2 - Y1)/2
    = (12 + 2)/2
    = 7

    MID point is (-4, 7)

    3.) Graph the equation

    4.)

    5.) Find the equation of the line with slope 0 and y-intercept (0,-2). Write your answer in the form y=mx+b

    Slope 0 means m = 0 therefore
    Y = b

    y-intercept (0,-2) means b = -2, therefore:

    y = -2

    6.) Write the equation of the line passing through ...

    Solution Summary

    Twenty graphs, equation of line, ,midpoints and line segments related questions are answered.

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