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.

in progress 0
Ngọc Khuê 3 years 2021-08-10T10:13:44+00:00 1 Answers 66 views 0

Answers ( )

  1. thugiang
    0
    2021-08-10T10:15:38+00:00
    Reply

    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

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )