Slope, Distance, Midpoint, Parallel/Perpendicular

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation y = mx + b.

Front

What does 'b' represent in the equation y = mx + b?

Back

The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What is the relationship between the slopes of perpendicular lines?

Back

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

Front

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

Back

The slope of a line perpendicular to it would be -1/3.

Front

What is the midpoint formula for two points (x1, y1) and (x2, y2)?

Back

The midpoint is given by the formula: ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

How do you determine if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the distance formula between two points (x1, y1) and (x2, y2)?

Back

The distance is calculated using the formula: d = √((x2 - x1)² + (y2 - y1)²).