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 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' (< or >).

Front

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

Back

Substitute the coordinates of the point into the inequality. If the inequality holds true, then the point is a solution.

Front

What is the difference between 'y ≤ mx + b' and 'y < mx + b'?

Back

'y ≤ mx + b' uses a solid line, while 'y < mx + b' uses a dashed line.

Front

What does the symbol '≥' mean in a linear inequality?

Back

'≥' means 'greater than or equal to', indicating that the values on the line are included.

Front

What does the symbol '≤' mean in a linear inequality?

Back

'≤' means 'less than or equal to', indicating that the values on the line are included.

Front

How do you graph the inequality 'y > -2x + 4'?

Back

Graph the line 'y = -2x + 4' with a dashed line, then shade above the line.

Front

What is the first step in graphing a linear inequality?

Back

Convert the inequality to the corresponding equation to find the boundary line.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is 'y = mx + b', where 'm' is the slope and 'b' is the y-intercept.

Front

How do you identify the y-intercept in the equation 'y = -3/4x + 3'?

Back

The y-intercept is the value of 'b', which is 3 in this case.