Question

A school is planning for an addition in some open space next to the current building. The existing building ends at the origin. The graph represents the system of equations that can be used to define the space for the addition. What is the system of equations that matches the graph?

Answer 1

IT IS OPTION A

Explanation:

Answer 2

The system of inequalities that math the graph is

`y \leq 3x`

`y > -2x-1`

Explanation:

see the attached figure to better understand the problem

we know that

Observing the graph

Solid blue line

The solution of the inequality is the shaded area below the solid blue line

The slope of the solid line is positive

The line passes through the origin

The equation of the inequality A is

`y \leq 3x`

Dashed red line

The solution of the inequality is the shaded area above the dashed red line

The slope of the dashed line is negative

The y-intercept of the dashed line is -1

The equation of the inequality B is

`y > -2x-1`

therefore

The system of inequalities that math the graph is

`y \leq 3x`

`y > -2x-1`