Parallel - Linear Equations

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

How can you determine if two linear equations represent parallel lines?

Back

Two linear equations represent parallel lines if they have the same slope (m) but different y-intercepts (b).

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 is point-slope form of a linear equation?

Back

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

Front

If the equation of a line is y = 3x + 2, what is the slope?

Back

The slope (m) is 3.

Front

If two lines have slopes of 2 and 2, what can be said about their relationship?

Back

The lines are parallel because they have the same slope.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

Given the equation y - 1 = 4(x + 2), what is the slope?

Back

The slope (m) is 4.

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept is (0, 5).

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope equation to get it into the form y = mx + b.