Graphing Linear Inequalities

Front

What does a solid line indicate in graphing linear inequalities?

Back

A solid line indicates that the inequality includes the boundary line, meaning the symbol has 'or equal to' (≥ or ≤).

Front

What is the correct graph for the inequality y < 2x + 3?

Back

Graph B is the correct representation of the inequality.

Front

Which ordered pair is NOT a solution to y ≥ -x + 1?

Back

The ordered pair (-4, 4) is NOT a solution.

Front

What does a dashed line indicate in graphing linear inequalities?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning the symbol does not have 'or equal to' (>, <).

Front

How do you convert the inequality -10x + 2y > 14 into slope-intercept form?

Back

The slope-intercept form is y > 5x + 7.

Front

What is the slope of the line represented by the inequality y ≤ 3x - 4?

Back

The slope is 3.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means that the value on the left is greater than the value on the right.

Front

How can you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality; if the inequality holds true, the point is a solution.

Front

What is the y-intercept of the line represented by the inequality y < -2x + 5?

Back

The y-intercept is 5.

Front

What does the inequality y ≥ 4 represent on a graph?

Back

It represents all points on or above the horizontal line y = 4.