what is the equation of a line with endpoints (0,0) and (2,-8)

Question

what is the equation of a line with endpoints (0,0) and (2,-8)

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Audrey 11 mins 2021-10-13T06:33:52+00:00 1 Answer 0

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    2021-10-13T06:35:26+00:00

    Answer:

    y=-4x

    Step-by-step explanation:

    You can graph it.. It might be easier for you to count than to use the formula for slope. We are counting from (0,0) to (2,-8)… I’m doing rise/run… I have to go down from (0,0) 8 units so the rise is -8 and the run is 2. So the slope is -8/2=-4.

    We know the y-intercept is (0,0)… so the equation is y=-4x+0 or just y=-4x

    Maybe you seen that this was proportional because it was a straight diagonal line going through the origin which we knew then that the line was already in the form of y=kx

    Then you can look at the point (2,-8) and see what you need to do 2 to get -8 multiplication-wise.

    2(-4)=-8

    so

    x(-4)=y

    or

    y=-4x

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