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a linear function has the same y-intercept as x+4y=12 and its graph contains the point(5.4).find the y-intercept and the slope of the linear function

  • algebra -

    The y-intercept of the line
    L1 : x+4y=12 can be found by putting the equation in slope-intercept form,
    L1 : y = -(1/4)x + 3
    The intercept is thus +3, and the point of intercept is (0,3).

    The linear function therefore passes through the points P1(0,3) and P2(5,4).
    The slope m,can be found by
    m=(y2-y1)/(x2-x1) as long as x2≠x1.

    The line passing through the two given points is
    L2 : (y-y1)/(y2-y1)=(x-x1)/(x2-x1)
    where y2≠y1 and x2≠x1.

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