Equations of parallel and perpendicular lines Flashcard

Front

What is the slope of a line parallel to the line represented by the equation y = 4x + 7?

Back

The slope of a line parallel to y = 4x + 7 is 4.

Front

What is the equation of a line that is parallel to y = -3?

Back

The equation of a line parallel to y = -3 is y = k, where k is any constant.

Front

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

Back

If two lines are parallel, their slopes are equal.

Front

What is the slope of a line perpendicular to the line represented by the equation y = 4x + 7?

Back

The slope of a line perpendicular to y = 4x + 7 is -1/4.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where a is a constant.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where b is a constant.

Front

How do you find the equation of a line given a point and a slope?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.

Front

What is the y-intercept of the line y = 4x - 2?

Back

The y-intercept of the line y = 4x - 2 is -2.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

Write the equation of a line that passes through the point (13, -6) and is parallel to a line with an undefined slope.

Back

The equation is x = 13.