19 Which equation of a line is parallel to the graph of y 3x

19) Which equation of a line is parallel to the graph of y 3x -5 and passes through the point (1, 5)? B. y 3x - 14 ?.ys-3x+3 8

Given that equation of the line is y = 3x - 5 or 3x - y - 5 = 0

The equation of a line parallel to 3x - y + 2 = 0, will be 3x - y + C = 0

(When 2 lines are parallel the x and y coefficients are the same. Only the Constatnt differs)

Since this line passes through (1,5), substituting for x and y in 3x - y + C = 0, we get (3*1) - 5 + C = 0

Therefore C = 5 - 3 = 2

Therefore the Equation of the line is 3x - y + 2 = 0 or y = 3x + 2 (Option A)