Write a equation in slope-intercept form for line that passes through the given point and is perpendicular to the given line. For what value of k are the graphs of y = 3x + 4 and 2y = kx + 9 parallel

Answer 1

y = mx + b

So from equation 1, m₁ = 3

Now, if the two lines are parallel, then m₂ = m₁ = 3

From equation 2, m₂ = k/2 (divide the whole equation by 2 so Y has a parameter of 1)

So if k/2 = 3, then k = 6