Slope

Front

What is the definition of slope in a linear equation?

Back

The slope is a measure of the steepness or incline of a line, represented as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

How is the slope of a line represented in the slope-intercept form of a linear equation?

Back

In the slope-intercept form, y = mx + b, 'm' represents the slope of the line.

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 4/2, which simplifies to 2.

Front

What does a positive slope indicate about the direction of a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about the direction of a line?

Back

A negative slope indicates that 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.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line represented by the equation y = 5x + 3?

Back

The slope is 5.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope is -2.