Parallel and Perpendicular Slopes

Front

What is the definition of parallel lines in terms of slope?

Back

Parallel lines have the same slope.

Front

What is the definition of perpendicular lines in terms of slope?

Back

Perpendicular lines have slopes that are opposite reciprocals of each other.

Front

If the slope of a line is m, 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 m is -1/m.

Front

What is the slope of a line parallel to the line represented by the equation y = 2x + 3?

Back

The slope of a line parallel to y = 2x + 3 is 2.

Front

How do you find the equation of a line parallel to a given line through a specific point?

Back

Use the slope of the given line and the point to apply the point-slope form of the equation.

Front

What is the point-slope form of a linear equation?

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

Given the line y = (1/4)x + 2, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to y = (1/4)x + 2 is -4.

Front

What is the equation of a line that passes through the point (2, 3) and is parallel to the line y = -5x + 1?

Back

The equation is y = -5x + 13.

Front

If two lines have slopes of 3 and -1/3, are they parallel, perpendicular, or neither?

Back

They are perpendicular because their slopes are opposite reciprocals.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.