Choose the equation that represents the line that passes through the point (6, −3) and has a slope of one half.

 Our equation will take the form of a linear equation, this is: Y = A*X +B passes through the point (6,-3)

this means that -3 = A*6 + B, and also the slope is 1/2, so A =1/2.

So we only need to know the value of B.

then if :

-3 = 1/2*6 - B = 3 + B

B = - 3 - 3 = -6

So our equation is: Y = 1/2*X - 6