What would be the slope-intercept function for a line that crosses points (3, -2) & (1, 4)?

Question

What would be the slope-intercept function for a line that crosses points (3, -2) &
(1, 4)?

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Skylar 3 months 2022-02-03T07:02:00+00:00 1 Answer 0 views 0

Answers ( )

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    2022-02-03T07:03:15+00:00

    Answer:

    [tex]y=-3x+7[/tex]

    Step-by-step explanation:

    The slope of the line passing through the points (3,-2) and (1,4) is

    [tex]\dfrac{4-(-2)}{1-3}=\dfrac{4+2}{-2}=\dfrac{6}{-2}=-3[/tex]

    Hence, the equation of the line is

    [tex]y-(-2)=-3(x-3)[/tex]

    Rewrite it:

    [tex]y+2=-3x+9\\ \\y=-3x+9-2\\ \\y=-3x+7[/tex]

    The last equation is the slope-intercept equation of linear function.

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