Determine whether the graphs of the given equations are parallel, perpendicular, or neither
y=x+11
y=-x+2

a. parallel
b. perpendicular
c. neither

Keywords

parallel, perpendicular, graphing, linear equation, slope, lines

we know that

If two lines are perpendicular, then the product of their slope is equal to minus one

so

If two lines are parallel, then their slope are equal

In this problem we have

--------> linear equation A

the slope is

 --------> linear equation B

the slope is

Find the product

---------> the lines are perpendicular

therefore

the answer is the option B

Perpendicular

using a graphing tool

see the attached figure

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following