What is the slope of the line that passes through the points (1,7) and (-4,-8)?

Question

What is the slope of the line that passes through the points (1,7) and (-4,-8)?

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Nevaeh 1 month 2021-10-17T20:02:08+00:00 1 Answer 0 views 0

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    2021-10-17T20:03:42+00:00

    Answer:

    The slope of the line that passes through the points (1,7) and (-4,-8) is 3.

    Step-by-step explanation:

    The equation of a line has the following format.

    y = ax + b

    In which a is the slope.

    Passes through the point (1,7)

    When x = 1, y = 7

    So

    y = ax + b

    7 = a + b

    Passes through the point (-4, -8)

    When x = -4, y = -8

    So

    y = ax + b

    -8 = -4a + b

    We have to solve the following system

    a + b = 7

    -4a + b = -8

    We want to find a.

    From the first equation

    b = 7 - a

    Replacing in the second equation

    -4a + b = -8

    -4a + 7 - a = -8

    -5a = -15

    5a = 15

    a = \frac{15}{5}

    a = 3

    The slope of the line that passes through the points (1,7) and (-4,-8) is 3.

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