line AB and line CD are parallel, perpendicular, or neither. A(-6,-9), B(8,19), C(0,-4), D(2,0) Responses

Answer 1

Hello Zay,

Use the slope formula m = (y₂ - y₁)/(x₂ - x₁) to find the slope of each line. Then:

1. if the slopes are the same, the lines are parallel
2. if the slopes are negative reciprocals, which means that the product of the two slopes is equal to -1, then the lines are perpendicular
3. In any other case, the lines are neither parallel nor perpendicular

I'll set up the formula for the slope of line AB, and you'll do the rest.

slope of line AB = (19 - -9)/(8 - -6) = (19 + 9)/(8 + 6) = 28/14 = 2

Now do the same for line CD, compare the two slopes and answer based on the options I described earlier.