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-value increases, the y-value also increases, 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-value increases, the y-value decreases, 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-value regardless of the x-value.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the x-value does 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, representing 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 steepness of a line?

Back

The greater the absolute value of the slope, the steeper the line. A slope of 2 is steeper than a slope of 1.

Front

What does a slope of 0.5 represent?

Back

A slope of 0.5 means that for every 2 units you move horizontally (run), you move 1 unit vertically (rise).