Slopes

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 to the horizontal change between two points on the line.

Front

How do you find the slope from the equation of a line in slope-intercept form (y = mx + b)?

Back

The slope (m) is the coefficient of x in the equation.

Front

What is the slope of the line represented by the equation y = 5x - 2?

Back

5

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are negative reciprocals of each other.

Front

If the slope of line A is 3, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line would be -1/3.

Front

Given the slopes of two lines, how can you determine if they are parallel?

Back

If the slopes are equal, the lines are parallel.

Front

Given the slopes of two lines, how can you determine if they are perpendicular?

Back

If the product of the slopes is -1, the lines are perpendicular.

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.