Question

Choose the graph below that represents the following system of inequalities: y ≥ −3x + 1 y ≥ 1 over 2x + 3 Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded above the line. Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded below the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line. Graph of two lines that intersect at one point. Both lines are solid. One line passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line passes through points 0, 1 and 1, negative 2 and is shaded below the line.

Answer 1

Use the slope-intercept form to find the slope and y-intercept.

Slope:

3

3

y-intercept:

(

0

,

−

1

)

(

0

,

-

1

)

Graph a solid line, then shade the area above the boundary line since

y

y

is greater than

3

x

−

1

3

x

-

1

.

y

≥

3

x

−

1

y

≥

3

x

-

1