Question

On a coordinate plane, 2 lines are shown. The first dashed straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 1) and (1, 1). Everything to the left of the line is shaded.
Which equation represents an inequality in the system of inequalities shown in the graph?





Which point is a solution to the system?

Answer 1

#1

• (-1,0)
• (0,2)

Slope:-

• m=2/0+1=2/1=2

Equation in point slope form

• y=2(x+1)
• y=2x+2

Shading done to right means towards origin

• 2(0)+2=2>0

So

shading is towards origin

The inequality is

• y<2x+2

Dashed line given so we remain it <

#2

• (0,-1)
• (1,1)

Slope:-

• m=1+1/1=2

Equation in point slope form

• y+1=2x
• y=2x-1

Put (0,0)

• 2(0)-1=-1<0

The inequality is(solid line given)

• y≥2x-1

Graph attached