Which of the following equations represents a line that passes through the points (0,4) and (-8, 16)? I. y = -3/2x +4 II.

Question

Which of the following equations represents a line that passes through the points
(0,4) and (-8, 16)?
I. y = -3/2x +4
II. 3x + 2y = 8

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Jasmine 2 weeks 2021-10-14T01:30:58+00:00 1 Answer 0

Answers ( )

    0
    2021-10-14T01:32:41+00:00

    Answer:

    both are right

    Step-by-step explanation:

    okay so you already know that the y-intercept is 4 since a point is (0, 4)

    but not to find the slope you can use the y2-y1/x2-x1

    16 – 4/ -8 – 0 = 12/-8 = 3/-2

    or

    4 – 16/ 0 – (-8) = -12/8 = -3/2

    it doesnt matter which you plug in first

    so we know the slope (m) is -3/2 and the y-intercept (b) is 4, now to put it into an equation:

    y = mx + b

    y = -3/2x + 4

    also im going to put this in slope-intercept form

    3x + 2y = 8

    -3x           -3x

    2y = -3x + 8

    /2         /2

    y = -3/2x + 4

    y = -3/2x + 4 = y = -3/2x + 4

    so both answers equal each other, meaning they both are right

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