Answer:
B
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You have already done half of it. Now substitute for x1 = 4 and y = 5
y - 5 = 6/7(x - 4)
Multiply everything by 7 to remove fractions
7y - 35 = 6(x - 4)
7y - 35 = 6x - 24
-6x + 7y = -24 + 35
-6x + 7y = 11
Some people prefer a positive number in front of x so multiply by -1
6x - 7y = -11
You can check the answer by testing it works for both of the original points
6x4 - 7x5 = 24 - 35 = -11 true
6x-3 - 7x-1 = -18 - -7 = -11 true
Slope-intercept form of a line is y=mx+b where m= slope and b=y-intercept.
First step is to compare this line with the given line y=5x+2 to get the value of m.
After comparing we will get m=5.
Now slope of all parallel lines are equal which means if slope of this line is 5 then slope of the line which is parallel to this line will also be 5.
Point- slope form of a line is:

Given the line passes through (-6,-1). So, plug in x1=-6, y1=-1 and m=5 in the above equation. So,
y-(-1)=5(x-(-6))
y+1=5(x+6)
y+1=5x+30
y=5x+30-1
y=5x+29.