What is the equation of the line that passes through the point (1,3) and has a slope of −3?

Question

What is the equation of the line that passes through the point
(1,3) and has a slope of −3?

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Arianna 2 weeks 2021-11-19T03:37:30+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-19T03:38:58+00:00

    y = mx + b form aka slope intercept form is as stated
    y = -3x + 6

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    0
    2021-11-19T03:39:19+00:00

    Answer:

    y = -3x + 6

    Step-by-step explanation:

    The equation for slope-intercept form is y = mx + b, where m=slope and b=y-intercept.

    First, we want to plug in our slope.

    y = -3x + b

    Next, we take our coordinate pair (1,3) and plug it in to solve for b. Remember that it’s in the form (x, y).

    y = -3x + b

    3 = -3(1) + b

    3 = -3 + b

    3+3 = b

    6 = b

    Now put b back in to get our full equation:

    y = -3x + 6

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