A community for students.
Here's the question you clicked on:
 0 viewing
ilovenyc
 3 years ago
Which of the following inequalities matches the graph? (see attached photo)
A 6x + y < 3
B 6x + y < 3
C 6x  y < 3
D The correct inequality is not listed.
ilovenyc
 3 years ago
Which of the following inequalities matches the graph? (see attached photo) A 6x + y < 3 B 6x + y < 3 C 6x  y < 3 D The correct inequality is not listed.

This Question is Closed

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0Looking at the graph, it looks like the yintercept is (0, 3) The points (0, 3) and (1, 9) are on the line. Since we have two points we can calculate the slope: (9  3) / (1  0) = 6 = m From (0, 3), we have the yintercept, b = 3 So the equation of the line is y = mx + b y = 6x + 3 Now look at point (0, 0) Assume inequality is y < 6x + 3 Test (0, 0): Is 0 < 6(0) + 3? 0 < 3 is true, so (0, 0) should be in shaded area. Since it's not, assumption is incorrect and correct inequality is y > 6x + 3 Now see if any of the choices is the same as y > 6x + 3

ilovenyc
 3 years ago
Best ResponseYou've already chosen the best response.0@mathstudent55 so it would be B?

mathstudent55
 3 years ago
Best ResponseYou've already chosen the best response.0B is 6x + y < 3 y < 6x + 3 We have y > 6x + 3, so that's not it. Let's put our inequality in standard form: y > 6x + 3 6x + y > 3 Multiply both sides by 1 Remember the inequality sign changes direction when you multiply or divide both signs by a negative number. 6x  y < 3 That looks like C
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.