Coordinate Geometry-Parallel/Perpendicular Equations

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line. It is calculated as the change in y (rise) over the change in x (run).

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1. This means that one line's slope is the negative reciprocal of the other's.

Tags

CCSS.8.EE.B.6

Front

How do you write the equation of a line in Point-Slope form?

Back

The Point-Slope form of a line's equation is written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the equation of a line with a slope of -3 that passes through the point (10,5)?

Back

y - 5 = -3(x - 10) is the equation in Point-Slope form.

Front

If the slope of a line is -5/3, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it would be 3/5, which is the negative reciprocal of -5/3.

Tags

CCSS.8.EE.B.6

Front

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

Back

If the coefficients of x in both equations are the same and the constant terms are different, the lines are parallel.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5