Equations of Parallel and Perpendicular Lines

Front

What is the slope of a line parallel to the line represented by the equation y = -6x + 3?

Back

The slope of a line parallel to y = -6x + 3 is -6.

Front

What is the relationship between the slopes of parallel lines?

Back

The slopes of parallel lines are equal.

Front

What is the slope of a line perpendicular to the line represented by the equation y = -1/3x + 5?

Back

The slope of a line perpendicular to y = -1/3x + 5 is 3 (the negative reciprocal of -1/3).

Front

If a line has a slope of 5, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to a line with slope 5 is -1/5.

Front

Write the equation of a line that is parallel to y = 5x - 3 and passes through the point (0, 4).

Back

The equation is y = 5x + 4.

Front

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

Back

The general form of the equation of a line is Ax + By + C = 0.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

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

If a line has the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

If a line has the equation y = -6x + 3, what is the y-intercept?

Back

The y-intercept is 3.