Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Lines that never intersect and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are negative reciprocals.

Front

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

Back

They are parallel.

Front

If the slope of one line is m, what is the slope of a line that is perpendicular to it?

Back

The slope will be -1/m.

Front

What is the slope of the line y = 2x + 3?

Back

The slope is 2.

Front

Write the equation of a line parallel to y = 3x + 4 that passes through the point (2, 5).

Back

y = 3x - 1.

Front

What is the slope of the line y = -1/2x + 6?

Back

The slope is -1/2.

Front

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

Back

Use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a line?

Back

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

Front

What is the equation of a line that is perpendicular to y = 4x - 2?

Back

y = -1/4x + b, where b can be any value.