Verified Answer :

  1. (1,9) : slope = 2

    y - y1 = m(x - x1)
    slope(m) = 2
    (1,9)...x1 = 1 and y1 = 9
    now we sub
    y - 9 = 2(x - 1) <=== point slope form

    y - 9 = 2(x - 1)
    y - 9 = 2x - 2
    y = 2x - 2 + 9
    y = 2x + 7 <== slope intercept form
    ===========================
    3. (-4,-5) : slope = 3/4

    y - y1 = m(x - x1)
    slope(m) = 3/4
    (-4,-5)....x1 = -4 and y1 = -5
    now we sub...but pay very close attention to ur signs....
    y - (-5) = 3/4(x - (-4)...not done yet
    y + 5 = 3/4(x + 4) <=== point slope form

    y + 5 = 3/4(x + 4)
    y + 5 = 3/4x + 3
    y = 3/4x + 3 - 5
    y = 3/4x - 2 <== slope intercept form