Question

Write the equation of a line that is parallel to the line y=3/2x-4 and contains the point (6,-1)

Answer 1

y = 3/2x - 10

Explanation:

Parallelism: The same slope but different intercepts

1 - Using the slope and point given find the new y intercept

y = 3/2x + b

-1 = 3/2(6) + b

-1 = 18/2 + b

-1 = 9 + b

-9 -9

-10 = b

2 - Write the new equation using the same slope but different y-intercepts

y = 3/2x + b

y = 3/2x - 10