Write an equation of a line that passes through the point (2,3) and is parallel to the line y=3/2x + 5 a : y= -2/3x b : y= -2/3x - 7 c : y= 3/2x d : y= 3/2x + 7

C. 

Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope intercept form. 

y = mx + b ---> plug in known values
3 = (3/2)(2) + b ---> Multiply
3 = 3 + b ---> Subtract 3 from both sides. 
0 = b

Since the intercept is 0, you will not see a number after the slope and x. 

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