Write a linear equation based on given information. Through (5,-5) and (4,0)

Question

Write a linear equation based on given information. Through (5,-5) and (4,0)

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Rose 2 weeks 2021-10-04T09:47:56+00:00 1 Answer 0

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    2021-10-04T09:49:39+00:00

    For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

    y = mx + b

    Where:

    m: It is the slope of the line

    b: It is the cut point with the y axis

    We have the following points:

    (x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)

    We find the slope:

    m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5

    Thus, the equation is of the form:

    y = -5x + b

    We substitute a point and find b:

    0 = -5 (4) + b\\0 = -20 + b\\b = 20

    Finally, the equation is:

    y = -5x + 20

    Answer:

    y = -5x + 20

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45:7+7-4:2-5:5*4+35:2 =? ( )