You start at (4, -4). You move left 4 units and right 4 units. Where do you end?

Step-by-step explanation:

(4 , - 4) > ( 4 - 4 + 4 , - 4 ) = ( 4 , - 4 )

Hello!

To find the equation of a line parallel to y = 1/2x - 4, first, we need to know that if two line are parallel, then their slopes are equivalent.

Thus, we create a new equation in slope-intercept form, which includes the original slope, which is currently 1/2.

Since the equation needs a y-intercept, we would substitute the given point into the equation and solve.

y = 1/2x + b (substitute the given ordered pair)

-6 = 1/2(9) + b

-6 = 4.5 + b (subtract 4.5 to both sides)

b = -10.5

Therefore, the equation of the line parallel to y = 1/2x - 4 is y = 1/2x - 10.5. This is also written as y = 1/2x - 21/2.