Question

50 POINTS FOR CORRECT AWNSER

Answer 1

Take 2 points

(-7,0)

(0,-2)

Slope:-

Now find equation of line in point slope form

Put (0,0)

shaded region is away from origin .

So the inequality is

this answer is correct i got it right when i used it.

Answer 2

Take 2 points

• (-7,0)
• (0,-2)

Slope:-

`\\ \sf\longmapsto (-2)/(7)=(-2)/(7)=m`

Now find equation of line in point slope form

`\\ \sf\longmapsto y=-2/7(x+7)`

`\\ \sf\longmapsto y=-2/7x-2`

Put (0,0)

`\\ \tt\Rrightarrow 0=0-2`

`\\ \tt\Rrightarrow 0\\eq -2`

shaded region is away from origin .

So the inequality is

`\\ \sf\longmapsto y\leqslant -2/7x-2`