DOL - Slope, Solutions, and Inequalities

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in y (rise) divided by the change in x (run).

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is an inequality in mathematics?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is less than, greater than, less than or equal to, or greater than or equal to the other.

Front

What does the solution set of an inequality represent?

Back

The solution set of an inequality represents all the values of the variable that make the inequality true.

Front

How can you determine if a point is part of the solution set for an inequality?

Back

To determine if a point is part of the solution set, substitute the point's coordinates into the inequality and check if the statement holds true.

Front

What is the difference between 'no solution' and 'infinitely many solutions'?

Back

'No solution' means there are no values that satisfy the equation, while 'infinitely many solutions' means there are countless values that satisfy the equation.

Front

What does the graph of a linear inequality look like?

Back

The graph of a linear inequality is a region of the coordinate plane that is either shaded above or below the line, depending on the inequality sign.

Front

How do you graph a linear equation?

Back

To graph a linear equation, find two or more points that satisfy the equation, plot them on a coordinate plane, and connect them with a straight line.