A line passes through the points (–6, –7) and (–3, 1). What is its equation in slope-intercept form? Write your answer using int

Question

A line passes through the points (–6, –7) and (–3, 1). What is its equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

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niczorrrr 4 years 2021-09-03T07:11:20+00:00 1 Answers 30 views 0

Answers ( )

  1. Sigrid
    0
    2021-09-03T07:12:30+00:00
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    Answer:

    y = 8/3(x) + 9

    Step-by-step explanation:

    The general equation of a straight line is slope intercept form is;

    y = mx + b

    where m is the slope and b is the y-intercept

    To get the slope, we use the slope equation

    we have this as:

    m = (y2-y1)/(x2-x1)

    (x1,y1) = (-6,-7)

    (x2,y2) = (-3,1)

    m = (1+7)/(-3 + 6) = 8/3

    so we have the equation as;

    y = 8/3(x) + b

    to get the value of b, we make use of any of the two points

    We substitute the coordinates of the two points into the equation

    Let us use the point (-3,1)

    Thus;

    1 = 8/3(-3) + b

    1 = -8 + b

    b = 1 + 8

    b = 9

    So the full equation is;

    y = 8/3(x) + 9

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