Equations of Parallel and Perpendicular Lines

Front

What is the definition of parallel lines in terms of their slopes?

Back

Parallel lines have the same slope but different y-intercepts.

Front

What is the definition of perpendicular lines in terms of their slopes?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

Set y = 0 and solve for x.

Front

How do you find the y-intercept of a linear equation?

Back

Set x = 0 and solve for y.

Front

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

Back

The point-slope form is given by y - y_1 = m(x - x_1), where m is the slope and (x_1, y_1) is a point on the line.

Front

Convert the equation y = mx + b to standard form.

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

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

Back

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

Front

How do you convert from standard form to slope-intercept form?

Back

Solve for y in terms of x.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.