Question

Gizmo Warm-upThe statement you wrote above is a linear inequality. In theLinear Inequalities in Two Variables Gizmo, you will graphlinear inequalities. The graphs of linear inequalities consist of adashed or solid line, and a shaded region.

Answer 1

The inequality takes the form

[tex]y

(a).

As we increase m, the dashed line becomes more and more vertical, meaning the orange region shaded below it becomes more to the right.

(b).

The variable b is the y-intercept of the dashed line. As we increase b, the point of intersection moves up, meaning the shaded region also moves up but the direction of shading is left unchanged.

(2).

If we change the sign of the inequality, the shaded side of the dashed line changes sides.

The "<" shades the region to the right of the line.

(3).

The ">" sign shades the region to the left.