12.10.4 Test (CST): Income and Budgeting Question 12 of 25 What is the y-intercept of the line passing through the point 5.-6) w

Question

12.10.4 Test (CST): Income and Budgeting
Question 12 of 25
What is the y-intercept of the line passing through the point 5.-6) with a
slope of – 1/7?
A.47/7
B.37/7
C.-37/7
D.-47/7

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Nick 4 years 2021-08-14T18:22:35+00:00 1 Answers 13 views 0

Answers ( )

  1. Nem
    0
    2021-08-14T18:24:26+00:00
    Reply

    Answer:

    C.-37/7

    Step-by-step explanation:

    Given the following data;

    Points (x, y) = (5, -6)

    Slope, m = -1/7

    Mathematically, the equation of a straight line is given by the formula;

    y = mx + c

    Where;

    m is the slope.

    x and y are the points

    c is the intercept.

    To find the y-intercept of the line, we would use the following formula;

    y – y1 = m(x – x1)

    y – (-6) = -⅐(x – 5)

    y + 6 = -⅐x + 5/7

    y = -⅐x + (5/7 – 6)

    y = -⅐x – 37/7 = mx + c

    Therefore, y-intercept (c) = -37/7

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