Mathematics

Question

Find the X and Y intercepts (-4,-3) (1,6

1 Answer

  • the x intercept is when the line passes through the x axis or when y=0
    the y intercept is when the line passes through the y axis or when x=0

    so we need to find the equation in slope intercept form or y=mx+b where m=slope or rise over run and b is y intercept

    we plot the points and find that the slope is 9/5 so
    y=9/5x+b
    we subsitute one of the values
    -3=9/5(-4)+b
    -3=-36/5+b
    36/5=7 1/5
    -3=-7 1/5+b
    b-3=-7 1/5
    b=-4 1/5

    the equation is y=9/5x-4 and 1/5 or y=9/5x-21/5

    x intercept
    y=0
    0=9/5x-21/5
    21/5=9/5x
    multiply both sides by 5/9
    65/45=1/1x
    x=21/9=7/3
    x intercept=7/3

    y intercept
    x=0
    y=9/5(0)-21/5
    y=-21/5
    y intercept=-21/5
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