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Hi Samaira, In order to write the equation of any line, all you need to know is the slope of the line and the (x, y) coordinates of any point that lies on the line. Slope: given that the equation you seek must be parallel to y = 2/3 + 3/4x, you must use the same slope as the line y = 2/3 + 3/4x. Written in this fashion, the slope is the number in front of x, in other words, the slope is 3/4. Point: you are told the line must touch the xaxis at 3, so the point (3, 0) must lie on the line. We know the ycoordinate of the point must be zero for any point on the xaxis. Using the pointslope formula: y  y_{1} = m(x  x_{1}) where m is the slope and (x_{1}, y_{1}) are the coordinates of the point, we substitute and simplify:
This is the equation parallel to y = 2/3 + 3/4x and it touches the xaxis at 3. Hope this helps,  


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