This is hard, nearly impossible to describe with just words. Which equation would you use to figure out if the two lines in the graph are parallel?
A. 4 - 1/-2 - 1 = 3 - 1/3 -1
B. 4 - 1/-2 - 1 = 3 - (-1)/3 - 1
C. 4 -1/ 1 - (-2) = 3 - (-1)/3 - (-1)
D. 1 - (-2)/4 - 1 = 3 - 1/ 3 - 1
I can barely read the answers and the textbook doesn't help at all either. It all just looks like a jumble to me. Maybe I didn't read thoroughly enough, but I have no clue what goes where. It's so confusing I barely know what to ask, and I don't know what to look up on Khan. Can someone explain how to do this, please? I don't think I can spend another day + night just using trial and error to learn this, I really don't have the time (or emotional stability) at this point.
You didn't say what the "two lines" are, or how they are represented.
From the answer choices, I will assume you were given 2 different pairs of points, each pair would form a line.
The calculations you show represents the calculations of the slope of the lines, most of which are obviously incorrect, only one correct.
I will pick my own example, hope your question is similar to mine.
Given the line between points A(4,8) and B(-3,2) and the line between P(-1,-6) and Q(9,3)
establish if the two lines are parallel.
slope between 2 given points = (difference in their y values)/(difference in their x values)
which is rise/run
so slope AB = (2 - 8)/(-3 - 4) = -6/-7 = 6/7
slope PQ = (3 - (-6))/(9 - (-1)) = 9/10
since the slopes are not the same, the lines are not parallel
Notice that I needed brackets when typing it on here, the way you typed it without brackets
would result in the incorrect order of operation.
Adjust your given question using my example,
let me know how you made out.