Parallel and Perpendicular Slope

Front

What is the slope of a line that is perpendicular to a line with a slope of -2?

Back

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

Front

What is the slope-intercept form of a line?

Back

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

Front

If two lines are parallel, what can be said about their slopes?

Back

If two lines are parallel, their slopes are equal.

Front

If two lines are perpendicular, how are their slopes related?

Back

If two lines are perpendicular, the product of their slopes is -1.

Front

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

Back

The slope of the line is 4.

Front

Write the equation of a line parallel to y = 3x + 2 that passes through the point (1, 5).

Back

y - 5 = 3(x - 1) or y = 3x + 2.

Front

What is the equation of a line that passes through the point (2, 3) and has a slope of -1?

Back

y - 3 = -1(x - 2) or y = -x + 5.

Front

Determine if the lines y = 1/3x + 2 and y = -3x + 1 are parallel, perpendicular, or neither.

Back

The lines are perpendicular.

Front

What is the y-intercept of the line represented by the equation y = -1/2x + 4?

Back

The y-intercept is 4.

Front

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

Back

y - 4 = -1/2(x - 3) or y = -1/2x + 4.5.