write an equation of the line containing the given point and parrallel to the given line (6,-4)8x-3y=2

Answer 1

-8x-3y=2
-3y=2-8x
y=(8/3)x+2

so the slope of the given line is 8/3 and since the line is parallel, it will have the same slope. now we can use the given point to solve for b

y=mx+b
y=(8/3)x+b
-4=(8/3)(6)+b
12=b