Parallel and Perpendicular Slopes

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of the line.

Front

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

Back

The y-intercept of the line.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the slope of a line that is parallel to the line y = 3x + 1?

Back

The slope is 3.

Front

What is the slope of a line that is perpendicular to the line y = 4x + 2?

Back

The slope is -1/4.

Front

If two lines have the same slope, what can we say about them?

Back

They are parallel.

Front

If two lines have slopes that are negative reciprocals of each other, what can we say about them?

Back

They are perpendicular.

Front

What is the slope of the line represented by the equation 2x + 3y = 6?

Back

The slope is -2/3.

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

Their slopes are different and not negative reciprocals.