write an equation of the line that is parallel to the given line the passes through the given point .
A. y=5x - 2 passing through (2,-1)
Since the lines are parallel, they will have the same slope. Therefore, the equation of the line parallel to y=5x-2 is also y=5x+b. To find the value of b, we can substitute the coordinates of the given point (2,-1) into the equation.
-1 = 5(2) + b
-1 = 10 + b
b = -11
Therefore, the equation of the line that is parallel to y=5x-2 and passes through (2,-1) is y=5x-11.