Parallel, Perpendicular or Neither

Front

What does it mean for two lines to be perpendicular?

Back

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

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope is represented by 'm' in the equation.

Front

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

Back

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

Front

If the slope of a line is m, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to it is -1/m.

Front

Given the lines y = 2x + 3 and y = 2x - 5, are they parallel, perpendicular, or neither?

Back

They are parallel because they have the same slope (2).

Front

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

Back

The slope is -3.

Front

How do you find the slope between 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 two lines that are neither parallel nor perpendicular?

Back

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

Front

If two lines have slopes of 1/2 and -2, are they perpendicular?

Back

Yes, they are perpendicular because (1/2) * (-2) = -1.