A line is parallel to y = 5x + 3 and intersects the point (3, 9).
What is the equation of this
parallel line?
y = 5x + [?]

-6

Step-by-step explanation:

9=5(3)+[?] means that [?] = -6

y = 5x - 6

Step-by-step explanation:

Slope of the parallel lines are same

So, m= 5

(3,9)

Equation: y - y1 = m(x -x1)

y - 9 = 5(x - 3)

y - 9 = 5x - 3*5

y -9 = 5x -15          {add 9 to both sides}

y - 9 + 9 = 5x - 15 + 9

y = 5x - 6