Write an equation with the two points: (5,-2) and (3,4)

Question

Write an equation with the two points: (5,-2) and (3,4)

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2 weeks 2021-10-13T05:34:18+00:00 1 Answer 0

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  1. Ava
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    2021-10-13T05:35:54+00:00

    Answer:

    y=-3x-17

    Step-by-step explanation:

    To find out the m(slope) of the equation use the formula:

    \frac{y_2-y_1}{x_2-x_1}.

    Substitute the values:

    \frac{4--2}{3-5}

    Combine the values:

    \frac{6}{-2}

    Find the value of the fraction:

    -3

    M is -3.

    The equation so far is y=-3x+b

    To find the y intercept, substitute one pair of coordinates into the equation and solve for b:

    y=-3x+b\\-2=3*5+b\\-2=15+b\\-17=b.

    We see that b =-17 so the full equation would be:

    y=-3x-17.

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