Question

50 POINTS FOR CORRECT ANSWER!

Answer 1

• (0,3)
• (-3,-3)

Slope:-

$\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2$

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

Answer:

$y\geq 2x+3$

Step-by-step explanation:

the gradient of a line is found by using the formula $\frac{y_{2}-y_{1}}{x_{2}-x_{1} }$

so we get $\frac{5-3}{1-0}=\frac{2}{1} =2$

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 $y\geq 2x+3$