Question

50 POINTS FOR CORRECT ANSWER!

Answer 1

• (0,3)
• (-3,-3)

Slope:-

`\\ \tt\Rrightarrow m=(-3-3)/(-3)=2`

Equation of line in point slope form

`\\ \tt\Rrightarrow y-3=2x`

`\\ \tt\Rrightarrow y=2x+3`

Put (0,0)

• 2(0)+3=3>0

Hence the inequality is

`\\ \tt\Rrightarrow y\geqslant 2x+3`

Answer 2

`y\geq 2x+3`

Explanation:

the gradient of a line is found by using the formula
`(y_(2)-y_(1))/(x_(2)-x_(1) )`

so we get
`(5-3)/(1-0)=(2)/(1) =2`

the y-intercept is where the line crosses the y-axis which is simply 3

so the equation of this line is
`y=2x+3` in the form
`y=mx+c`

but the question is asking for an inequality, specifically above the line so we get
`y\geq 2x+3`