Question

Write a system of inequalities using the given graph

Answer 1

For dark line

• (0,1)
• (-1,-4)

Slope

• m=-4-1/-1=5

Equation in point slope form

• y-1=5x
• y=5x+1

Put (0,0)

• 0<1

As line is dark sign is ≤

The inequality

• y≤5x+1

For dashed line

• (2,0)
• (0,-2)

Equation in intercept form

• x/2-y/2=1
• x-y=2
• y=x-2

Put (0,0)

• 0>-2

Symbol is >

Inequality is

• y>x-2