For the straight line defined by the points (1,51) and (3,91), determine the slope and y-intercept.

Question

For the straight line defined by the points (1,51) and (3,91), determine the slope and y-intercept.

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Ngọc Khuê 3 years 2021-08-10T10:13:44+00:00 1 Answers 63 views 0

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    2021-08-10T10:15:38+00:00

    Answer:

    Step-by-step explanation:

    Given a straight line defined by the points (1,51) and (3,91),

    x1 = 1, y1 = 51, x2 = 3 and y2 = 91

    Slope of the line m = ∆y/∆x

    m = y2-y1/x2-x1

    m = 91-51/3-1

    m = 40/2

    m = 20

    Hence the slope of the line is 20.

    Given the equation of a line y = mx+c

    To get the y intercept of the line c, we will substitute one of the give points and the slope into the equation as shown;

    Using the point (1,51) and m = 20,

    Substitute into the equation y = mx+c

    51 = 20(1)+c

    51 = 20+c

    c = 51-20

    c = 31

    Hence the slope is 20 and the y intercept of the line is 31

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