Question

MEDAL WILL BE AWARDED AND FAN!
Determine the type of boundary line and shading for the graph of the inequality 5x + y greater than or equal to -10.

Dashed line with shading on the side that includes the origin
Solid line with shading on the side that does not include the origin
Dashed line with shading on the side that does not include the origin
Solid line with shading on the side that includes the origin

Answer 1

First off, you know that it is greater than OR EQUAL TO. Does this mean it is a dashed or solid line?

Answer 2

um, solid

Answer 3

Correct, so can already rule out two options. Now you have\[5x +y \ge-10\]

Answer 4

ok

Answer 5

What you want to do is isolate y. To do this, subtract 5x from both sides.

Answer 6

ok

Answer 7

wouldn't we just have 5xy now?

Answer 8

Can you show me what you have after you subtract 5x from both sides?

Answer 9

No.

Answer 10

i dont get it

Answer 11

i know 5x - 5x is zero so thats gone

Answer 12

\[y \ge-10-5x\] this is what you have now.

Answer 13

yes

Answer 14

This is also\[y \ge-5x-10\] which is slope intercept form.

Answer 15

oh, ok i see

Answer 16

You shade above the line because the sign is a greater than. Since you shade above the line, this includes the origin. Does this help?

Answer 17

so its b?

Answer 18

no no no

Answer 19

d sorry

Answer 20

Yes! :D

Answer 21

thank you so much dude, im gonna give you a medal and fan you

Answer 22

Thank u! :)

Answer 23

im going to close this question now

Answer 24

K. Anytime you need help with something else, just message me. :)

Answer 25

ok