Question 659100
since the line through (6,-5) is  parallel to 4x-2y+7=0, they must have same slope.

solving  for the slop  of 4x-2y+7=0 :

m= -A/B

m=-4/-2

m=2

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using the given point: (6,-5) and the slope 2, we can use the point-slope form for finding the equation.

(y-y1)=m(x-x1)

y+5=2(x-6)

y+5=2x-12

2x-y-17=0

the equation  of  a line  through (6,-5) is 2x-y-17=0

i hope it helped you :)