Algebra 1

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Find the y-intercept of the two coordinates ( 2, -5) and ( 6, 3). Please help me with this question and please explain to me and show me how to find Each step to solving the y- intercept. Thank you 😄

  • Algebra 1 -

    y intercept is when x is zero.

    y=mx+b
    point 1 -5=2m+b
    ponit 2 3=6m+b

    subtract second equation from first
    -8=-4m
    m=2, putting that in the first equation
    -5=-4+b or b=-1
    y=2x-1
    so for y intercept, x is zero, or y=-1

  • Algebra 1 -

    Thanks but my teacher said that the answer is y= 2x - 9

  • Algebra 1 -

    slope = (3+5)/(6-2) = 8/4 = 2
    so the equation is y = 2x + b
    plug in one of the points: (6,3)

    3 = 2(6) + b
    -9 = b
    so y = 2x - 9
    Since this is in the y-intercept, slope form , and b is the y-intercept
    there it is!!

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