Answer:
Parallel: y = (2/5)x - 7/5
Perpendicular: y = (-5/2)x + 3/2
Explanation:
Parallels lines have the same slope,
And it also needs to pass through (1, -1)
for an equation as y = mx + b, the only information missing is the y-intercept, it can be found replacing everything else.
-1 = (2/5)(1) + b
-1 - 2/5 = b
-7/5 = b
The equation for the line parallel is y = (2/5)x - 7/5
Perpendiculars when you multiply its slopes the result is -1 , assuming m = the slope of the perpendicular line
(2/5) * m = -1
m = -5/2
Now you have to replace the point and the slope to get the y-intercept as the previous line:
y = mx + b
-1 = (-5/2)(1) + b
-1 + 5/2 = b
3/2 = b
y = (-5/2)x + 3/2