Parallel and Perpendicular lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Front

How do you find the slope of a line from its equation in slope-intercept form?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

What is the slope of the line y = -6x + 2?

Back

The slope is -6.

Front

What is the negative reciprocal of -6?

Back

The negative reciprocal of -6 is 1/6.

Front

If two lines have the same slope, what can we say about them?

Back

If two lines have the same slope, they are parallel.

Front

If two lines have slopes of -7 and 1/7, are they parallel, perpendicular, or neither?

Back

They are neither, as their slopes are not equal and not negative reciprocals.

Front

Write the equation of a line that is parallel to y = 2x + 3 and passes through the point (1, 2).

Back

The equation is y = 2x.

Front

What is the slope of the line y = -7x + 2?

Back

The slope is -7.

Front

Which equation is perpendicular to y = -6x + 2?

Back

y = 1/6x + 4 is perpendicular to y = -6x + 2.