2nd 9 weeks Review-Algebra 24-25

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction. It is calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-values increase, the y-values also increase, meaning the line rises from left to right.

Front

What is the y-intercept of a line?

Back

Front

What symbol is used for an open dot when graphing inequalities?

Back

An open dot is used for the symbols < and >, indicating that the endpoint is not included in the solution.

Front

What symbol is used for a closed dot when graphing inequalities?

Back

A closed dot is used for the symbols ≤ and ≥, indicating that the endpoint is included in the solution.

Front

How do you graph the inequality x < 3?

Back

You would use an open circle at (3, 0) and shade to the left, indicating all values less than 3.

Front

What is the slope of the line that passes through the points (8, 5) and (9, -1)?

Back

Front

What is the slope of the line represented by the equation y = -\frac{3}{2}x + 4?

Back

The slope is -\frac{3}{2}.