Answer: y = 1/5 x - 4
Step-by-step explanation: Recall the equation of the line in the form : y = mx + c , where m is the slope and c is the y - intercept. Comparing this with the equation , it means m = 1/5. Note : for two lines to be parallel, then they must have the same slope, i.e the slope of the other line is also 1/5.
To find the equation of the other line , use the formula;
y - y1 = m ( x - x1) , from the question , x1 = 5 and y1 = -3, substituting, we have
y - ( -3) = 1/5 ( x -5 )
y + 3 = 1/5x - 1
y = 1/5x -1-3
y = 1/5x - 4