Parallel Perpendicular Slopes and Equations

Front

What is the slope of a line parallel to y = 5?

Back

The slope is 0, as parallel lines have the same slope.

Front

Write the equation of a line parallel to y = 4 that passes through the point (8, -3).

Back

The equation is y = -3.

Front

What can be said about the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

If two lines are represented by the equations -6x + y = 2 and 6x + y = 2, what can be said about their relationship?

Back

These lines are neither parallel nor perpendicular.

Front

What is the slope of a line perpendicular to y = 2x - 7?

Back

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

Front

How do you determine if two lines are parallel based on their slopes?

Back

Two lines are parallel if their slopes are equal.

Front

What is the general form of the equation of a line?

Back

The general form is Ax + By + C = 0.

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

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the relationship between the slopes of perpendicular lines?

Back

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