Answer:
Step-by-step explanation:
y = m x + b
Then we can read the slope right off the equation: it is the number
represented by m.
I'll help you get one into this form:
Start with -2x+8y-4
Then add 4 to both sides: -2x+8.
Then divide both sides by 4: y = 3/4 x + 6/4.
This means that the slope is 3/4.
Try the other one on your own and reduce the slope to the smallest
possible fraction.
Now, what does this mean? If the slopes are the same, it means the two
lines are parallel. If one slope is the negative reciprocal of the
other, then the two lines are perpendicular. To get the negative
reciprocal of a number, put one over the number and then make it
negative. So:
if the number is its negative reciprocal is
2 -1/2
3/10 -10/3
-3/2 2/3
So if the two lines had these respective slopes, they would be
perpendicular.
If the slopes are neither the same nor negative reciprocals, the lines
are neither parallel nor perpendicular.
