Geometry: Review for Chapter 3

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What are intersecting lines?

Back

Intersecting lines are lines that cross each other at one point. They have different slopes.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

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 point-slope form of a linear equation?

Back

The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does it mean for two lines to coincide?

Back

Two lines coincide if they lie on top of each other, meaning they have the same slope and y-intercept.

Front

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

Back

Two lines are parallel if they have the same slope (m) in their equations.

Front

What is the equation of a line that passes through the points (-2, -1) and (0, 5)?

Back

The equation is y = 3x + 5.

Front

What is the difference between parallel and perpendicular lines?

Back

Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals of each other.