use point-slope formula [ y- y1 = m(x - x1) ] with the point you are given as point 1 (x1,y1) = (4,-6) and the slope m that you are also given m = -3/4
y-y1 = m(x -x1)
y-(-6) = -3/4(x -4)
y + 6 = -3/4(x-4)
you can work this toward the slope-intercept formula of y = mx +b by doing the following
y + 6 = -3/4x +3 (distribute the -3/4)
y = -3/4x + 3 -6 ( move the 6 to the other side )
y = -3/4x - 3
there you go :) choice 1 looks good if you're still able to put in the answer
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