Question

Write the slope-intercept inequality for the graph below. If necessary, use <= for or >= for .

Answer 1

@Mertsj @marylou004 @robtobey @ddog1437 @Disco619 @thomaster @ybarrap @tester97 @Firejay5 @agent0smith can you please help :( i dont know how to do this

Answer 2

what is the slope of that line?

Answer 3

-2/1

Answer 4

-2 is the slope

Answer 5

good

Answer 6

y = mx+b

y = -2x+b .. plug in the slope m = -2

2 = -2(-2)+b ... plug in the point (-2,2), so plug in x = -2 and y = 2

2 = 4 + b

b = ???

Answer 7

Plastonick, please don't give out the answer

Answer 8

b=-2?

Answer 9

Sorry, deleted.

Answer 10

so -2 is answer? @jim_thompson5910

Answer 11

Write the full equation of that straight line first.
Then write the inequality.

y = mx + b. Already found slope and b. So what is the equation of the line?

Answer 12

since the slope is m = -2 and the y-intercept is b = -2

we know that y = mx+b turns into y = -2x - 2

this is the equation of the boundary line

Answer 13

the boundary line is solid and we're shading below it, so that equal sign turns into a \(\Large \le\) sign

that's why the answer is \(\Large y \le -2x - 2\)

Answer 14

ohh i understand now thanks jim you're the best bro i love you!

Answer 15

so this would be y<=3/5x+5?

Answer 16

@jim_thompson5910

Answer 17

what is the equation of the boundary line?

Answer 18

y=3/5x+5

Answer 19

3/5 = slope

Answer 20

the slope is 3/5, but is the y-intercept really 5?

Answer 21

how do i find the y-intercept again?

Answer 22

visually, it's the point where the line crosses the y-axis

Answer 23

oh, -3 is on the y axis

Answer 24

or...algebraically, it's the point of the form (0,y) that lies on the line

Answer 25

yep, so the y-intercept is -3

Answer 26

making your boundary line equation to be \(\Large y = \frac{3}{5}x - 3\)

Answer 27

how do i know if a graph is greater than or less than judging from the graph?

Answer 28

is the shaded region above the boundary line? or below it?

Answer 29

above

Answer 30

is the boundary line solid or dashed?

Answer 31

solid

Answer 32

so your inequality sign will be \(\Large \ge\)

that means the answer is \(\Large y \ge \frac{3}{5}x - 3\)

Answer 33

>= if the shaded region is above? and <= if it is below?

Answer 34

> for above
< for below

Answer 35

thanks !! :D

Answer 36

you include an underline under the inequality sign if the boundary line is solid

Answer 37

np

Answer 38

youre the best

Answer 39

thanks