Parallel and Perpendicular Lines

Front

What is the slope of a line parallel to the line represented by the equation 2x - 3y = 9?

Back

The slope of the line is 2/3.

Front

What is the condition for two lines to be parallel?

Back

They lie in the same plane and do not intersect.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 5x - 3?

Back

The slope is 5.

Front

If two lines have the same slope, what can be said about their relationship?

Back

They are parallel.

Front

How can you determine if two lines are perpendicular?

Back

The product of their slopes is -1.

Front

What is the equation of a line that is parallel to y = -5/2x + 10 and passes through the point (3, 1)?

Back

y = -5/2x + 17/2.

Front

What symbol is commonly used to indicate parallel lines in diagrams?

Back

Feathers or arrows such as > or >>.

Front

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

Back

Ax + By + C = 0.

Front

How do you convert the equation of a line from standard form to slope-intercept form?

Back

Solve for y in terms of x.