Problem

Draw line segment $\overline{A B}$ with endpoints…

01:41

Problem 51 Medium Difficulty

In what quadrant does a point lie if the sum of its coordinates is negative and the product of its coordinates is positive?

Answer

$\mathrm{III}^{\mathrm{rd}}$ quadrant

Related Courses

Algebra

Elementary and Intermediate Algebra

Chapter 3

Graphing Linear Equations and Inequalities in Two Variables; Functions

Section 1

Graphing Using the Rectangular Coordinate System

Discussion

You must be signed in to discuss.

Top Algebra Educators

Watch More Solved Questions in Chapter 3

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Video Transcript

quadrant. This particular point they're describing is and I just want to remind this is one, two, three, and four. And also remember that this is positive. Positive. This is negative. Positive. This is negative. Negative. And this is positive. Negative. Okay, so first condition is the sum of its coordinates is negative. Okay, so let's just look at these combination of positives and negatives, so some of coordinates is negative. Okay? A positive and a positive will never be negative, so it can't be quadrant one, so this is automatically checked off. Um, a negative and a positive for quarter to that could be negative if the negative was big enough. So that's a possibility here. A negative? Negative. If you add a negative too negative, you're gonna have a giant negative. So this is a possibility. And then here in quarter, for if you have a positive and you add a negative too, it could certainly be a bigger negative and go negative. So we've only ruled out quadrant one. The next part is the product of its coordinates is positive. So, of these remaining quadrants, we need to figure out which set up would give us a positive product. So think about when you multiply a negative and positive that's gonna give you a negative. So this quadrant is out. So is this one. So I'll just cross it off if I go down to Quadrant four. Ah, positive times. The negative is a negative. So that quadrant is out. Which means the answer is the third quadrant. That's where this particular point must lie.

We have video lessons for 94.35% of the questions in this textbook