Unit 4 Part 2

Front

What are the characteristics of parallel lines?

Back

Parallel lines have the same slope and never intersect.

Front

What are the characteristics of perpendicular lines?

Back

Perpendicular lines have slopes that are negative reciprocals of each other.

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 represented by the equation y = mx + b?

Back

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

Front

If the slope of one line is 2, what is the slope of a line perpendicular to it?

Back

The slope of the perpendicular line is -1/2.

Front

Write the equation of a line parallel to y = 3x + 1 through the point (2, 5).

Back

y = 3x - 1.

Front

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

Back

The slope is -2/3.

Front

If two lines have slopes of 4 and -1/4, what can you say about their relationship?

Back

The lines are perpendicular.

Front

What is the formula for 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

How do you determine if two lines are parallel using their equations?

Back

Two lines are parallel if their slopes are equal.