Parallel and Perpendicular lines

Front

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

Back

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

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.

Front

What is the slope of a line that is perpendicular to a line with a slope of 3?

Back

The slope of a line that is perpendicular to a line with a slope of 3 is -1/3.

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

If a line has the equation y = 4x + 1, what is its slope?

Back

The slope of the line y = 4x + 1 is 4.

Front

How can you find the equation of a line parallel to a given line?

Back

To find the equation of a line parallel to a given line, use the same slope as the given line and a point through which the new line passes.

Front

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

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

What is the equation of a line that passes through the point (2, 3) and has a slope of -1?

Back

The equation of the line is y - 3 = -1(x - 2), which simplifies to y = -x + 5.

Front

How do you identify if two lines are neither parallel nor perpendicular?

Back

Two lines are neither parallel nor perpendicular if their slopes are different and not negative reciprocals of each other.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line y = -2x + 5 is -2.