Writing Equations of parallel and perpendicular lines

Front

What is the slope of a line that is perpendicular to the line represented by the equation y = mx + b?

Back

The slope of a line that is perpendicular to another line is the negative reciprocal of the slope of the original line. If the slope of the original line is m, the slope of the perpendicular line is -1/m.

Front

What is the relationship between the slopes of two parallel lines?

Back

Two lines that are parallel have the same slope.

Front

If a line has a slope of 3/7, what is the slope of a line parallel to it?

Back

The slope of a line parallel to a line with a slope of 3/7 is also 3/7.

Front

How can you determine if two lines are parallel, perpendicular, or neither?

Back

To determine the relationship between two lines, compare their slopes. If the slopes are equal, the lines are parallel. If the product of the slopes is -1, the lines are perpendicular. If neither condition is met, the lines are neither.

Front

What is the general form of the equation of a line?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) of a line given two points is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope-intercept form of a line?

Back

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

Front

How do you write the equation of a line parallel to a given line that passes through a specific point?

Back

To write the equation of a line parallel to a given line, use the same slope as the given line and apply the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the specific point.

Front

What is the slope of the line represented by the equation y = 2x - 7?

Back

The slope of the line represented by the equation y = 2x - 7 is 2.

Front

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

Back

The lines are perpendicular because the product of their slopes (2 * -1/2) equals -1.