Parallel and Perpendicular Lines

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 perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

Front

What does the slope (m) represent in the equation y=mx+b?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

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

Back

The slope of a line that is perpendicular to a line with slope 2 is -1/2.

Front

What is the y-intercept in the equation y=mx+b?

Back

The y-intercept (b) is the point where the line crosses the y-axis.

Front

Given the equation y=3x+2, what is the slope?

Back

The slope is 3.

Front

What is the equation of a line parallel to y=2x+1 that passes through the point (1,3)?

Back

The equation is y=2x+1.

Front

What is the equation of a line perpendicular to y=-rac{1}{4}x+2 that passes through the point (0,0)?

Back

The equation is y=4x.