Module 13 Test

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the slope of a line perpendicular to a line with slope m = 5/8?

Back

The slope of a line perpendicular to m = 5/8 is -8/5.

Front

How do you calculate the distance between two points (x1, y1) and (x2, y2)?

Back

Use the distance formula: d = √((x2 - x1)² + (y2 - y1)²).

Front

What is the midpoint formula for two endpoints (x1, y1) and (x2, y2)?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2).

Front

If two lines have slopes m1 and m2, when are they perpendicular?

Back

They are perpendicular if m1 * m2 = -1.

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How can you determine if two lines are parallel from their equations?

Back

If the coefficients of x in both equations are the same, the lines are parallel.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis (x=0).

Front

How do you find the slope from two points?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

They are neither if their slopes are different and do not satisfy the perpendicular condition.