LT.10: Students determine if equations of two lines are parallel

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

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

Back

The slope (m) represents the steepness of the line and the direction it goes. A positive slope rises from left to right, while a negative slope falls.

Front

If two lines have slopes m1 and m2, when are they parallel?

Back

Two lines are parallel if m1 = m2.

Front

If two lines have slopes m1 and m2, when are they perpendicular?

Back

Two lines are perpendicular if the product of their slopes m1 * m2 = -1.

Front

What is the slope of the line y = 3x + 2?

Back

The slope is 3.

Front

What is the slope of the line y = -2x + 5?

Back

The slope is -2.

Front

Determine if the lines y = 3x + 2 and y = 3x - 3 are parallel, perpendicular, or neither.

Back

They are parallel.

Front

Determine if the lines y = 3/2x + 2 and y = 2/3x + 6 are parallel, perpendicular, or neither.

Back

They are neither.

Front

What is the slope of a line parallel to m = 4?

Back

The slope is 4.

Front

What is the slope of a line perpendicular to m = 4?

Back

The slope is -1/4.