Parallel & Perpendicular Slopes FLASHCARD

Front

What is the slope of a line perpendicular to a line with slope m?

Back

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

Front

Write the equation of a line in slope-intercept form.

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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 does it mean for two lines to be perpendicular?

Back

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

Front

If a line has a slope of 3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope 3 is -1/3.

Front

Determine if the lines y = 2x + 1 and y = 2x - 4 are parallel, perpendicular, or neither.

Back

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

Front

What is the slope of the line represented by the equation y = -4x + 5?

Back

The slope of the line is -4.

Front

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

Back

They are perpendicular because (1/2) * (-2) = -1.

Front

What is the slope of a line that is parallel to the line y = 5x + 3?

Back

The slope of a line parallel to y = 5x + 3 is 5.

Front

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

Back

The equation is y = -3x + 13.