Parallel and Perpendicular Lines Equations Practice

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.

Tags

CCSS.HSG.CO.A.1

Front

What are perpendicular lines?

Back

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

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Front

How do you determine if two lines are parallel using their equations?

Back

Two lines are parallel if their slopes are equal. For example, in the slope-intercept form y = mx + b, if m1 = m2, the lines are parallel.

Tags

CCSS.HSG.CO.A.1

CCSS.4.G.A.1

Front

How do you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1. If one line has a slope of m1, the other must have a slope of m2 such that m1 * m2 = -1.

Front

What is the slope-intercept form of a line?

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How can you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms involving x and y on one side and the constant on the other.

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. It represents the value of y when x = 0.

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line given two points (x1, y1) and (x2, y2) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the relationship between the slopes of two lines that are parallel?

Back

The slopes of two parallel lines are equal. If line 1 has a slope of m1 and line 2 has a slope of m2, then m1 = m2.

Tags

CCSS.HSG.CO.C.11