Slopes of Parallel and Perpendicular Lines

Front

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

Back

The slope-intercept form of a linear equation 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?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

How do you determine if two lines are perpendicular?

Back

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

Front

What does 'b' represent in the slope-intercept form of a linear equation?

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

If the slope of Line 1 is 2, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to Line 1 with a slope of 2 is -1/2, since the product of the slopes must equal -1.

Front

What is the slope of the line represented by the equation y = -3x + 4?

Back

The slope of the line represented by the equation y = -3x + 4 is -3.

Front

Given the equations y = 2x + 1 and y = 2x - 3, are these lines parallel, perpendicular, or neither?

Back

These lines are parallel because they have the same slope of 2.

Front

What is the relationship between the slopes of two lines that are neither parallel nor perpendicular?

Back

If two lines are neither parallel nor perpendicular, their slopes are different and do not satisfy the condition for perpendicularity (the product of the slopes is not -1).

Front

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

Back

The slope (m) can be found using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = 4?

Back

The slope of the line represented by the equation y = 4 is 0, indicating a horizontal line.