Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
Step-by-step explanation:Two lines with slopes and are parallel when and are perpendicular when
Now determine the slope of all the lines
The line jk passes through the points
(-5,5) and (1,-5) so its slope is
To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope
5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3
Neither parallel nor perpendicular.
6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5
Neither parallel nor perpendicular.
5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3
This line is parallel
6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5
Since (-5/3)(3/5) = -1 this line is perpendicular.