Parallel and Perpendicular Equations

Front

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

Back

The slope-intercept form is given by the equation 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 relationship between the slopes of perpendicular lines?

Back

The slopes of perpendicular lines are opposite reciprocals of each other.

Front

Write an equation in slope-intercept form that is parallel to y = 3x + 2 and passes through the point (1, 4).

Back

y = 3x + 1.

Front

If the slope of a line is 4, what is the slope of a line that is perpendicular to it?

Back

The slope of the perpendicular line is -1/4.

Front

Are the lines y = 2x + 1 and y = 2x - 3 parallel?

Back

Yes, they are parallel because they have the same slope of 2.

Front

What does it mean for two lines to be neither parallel nor perpendicular?

Back

It means that the lines intersect at an angle that is not 90 degrees and do not have the same slope.

Front

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

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = -5x + 7?

Back

The slope of the line is -5.

Front

If two lines have slopes of 1/3 and -3, are they perpendicular?

Back

Yes, they are perpendicular because their slopes are opposite reciprocals.