Parallel & Perpendicular Lines

Front

What are parallel lines?

Back

Lines in a plane that never meet and have the same slope.

Front

What are perpendicular lines?

Back

Lines that intersect at a right angle (90 degrees) and have slopes that are opposite reciprocals.

Front

What does 'm' represent in the slope-intercept form y=mx+b?

Back

The slope of the line.

Front

What does 'b' represent in the slope-intercept form y=mx+b?

Back

The y-intercept, where the line crosses the y-axis.

Front

If two lines have slopes of 2 and -rac{1}{2}, are they parallel, perpendicular, or neither?

Back

Perpendicular, because their slopes are opposite reciprocals.

Front

What is the slope of a line parallel to the line y=4x+1?

Back

4, because parallel lines have identical slopes.

Front

What is the slope of a line perpendicular to the line y=-rac{3}{2}x+5?

Back

rac{2}{3}, because the slope is the opposite reciprocal.

Front

How do you determine if two lines are parallel?

Back

Check if their slopes are equal.

Front

How do you determine if two lines are perpendicular?

Back

Check if the product of their slopes is -1.

Front

Write the equation of a line parallel to y=2x+3 that passes through the point (1, 4).

Back

y=2x+2.