Slope STAAR Practice

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) of a line is calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

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 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 is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-values regardless of the x-values.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-values do not change and division by zero occurs.

Front

How do you interpret a slope of 1?

Back

A slope of 1 means that for every unit increase in x, there is a corresponding unit increase in y, resulting in a 45-degree angle line.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How can you find the slope from a graph?

Back

To find the slope from a graph, select two points on the line, determine the rise (change in y) and run (change in x), and use the formula m = rise/run.

Front

What is the relationship between slope and rate of change?

Back

The slope of a line represents the rate of change between the two variables; a steeper slope indicates a greater rate of change.

Front

What does it mean if two lines are parallel in terms of slope?

Back

Two lines are parallel if they have the same slope, meaning they rise and fall at the same rate but never intersect.