Slopes of parallel lines are same, only the y-intercepts are different
Slopes of perpendicular lines are opposite reciprocals, which means when they are multiplied, it equals to -1.
1)
Parallel lines have the same slopes
y=mx+b where m is the slope
so the slope of a parallel line would be 2/3
2)
y=9/5x -5
slope will be 9/5
Next set of questions:
1) y=-1/2x - 2
[tex] -\frac{1}{2} \times x = -1 \to x = 2[/tex]
So that means the slope is 2
2) y=-x-1
Slope is -1, and we need to find the slope for a line perpendicular to it.
[tex]-1 \times x = -1 \to x=1[/tex]
So the slope is 1