Question

Is y = 7x +2 and x + 7y = 8 perpendicular, parallel, or neither ?

Answer 1

Answer:

The lines are perpendicular.

Step-by-step explanation:

I graphed both of the equation on the graph below.

Answer 2

Answer:

perpendicular

Step-by-step explanation:

You want them to be in the same form first (aka y=mx+b)

y=7x+2 is already in that form so you just need to change x+7y=8. First subtract x from both sides and then divide both sides by 7 to get y by itself:

x+7y=8

7y=-x +8

y= -x/7 + 8/7

To be able to tell if a line is perpendicular or not is to look at the slope: if the slope of one equation is the "opposite" version of the other, they are perpendicular.

The slopes are -x/7 and 7x so yes, they are perpendicular

** if they're parallel they will have the same slope and if they are neither they won't have a similar slope at all