Coordinate Plane and Slope

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair of numbers (x, y).

Tags

CCSS.5.G.A.1

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (upward or downward).

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What is a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in a line that rises from left to right.

Tags

CCSS.8.EE.B.5

Front

What is a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a line that falls from left to right.

Tags

CCSS.8.EE.B.5

Front

What is zero slope?

Back

Zero slope indicates a horizontal line where y remains constant as x changes.

Tags

CCSS.8.EE.B.5

Front

What is an undefined slope?

Back

An undefined slope occurs with a vertical line where x remains constant and y changes, making the slope calculation impossible.

Tags

CCSS.8.EE.B.5

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to locate points on a coordinate plane, written in the form (x, y).

Tags

CCSS.5.G.A.1

Front

What are the coordinates of Point A if it is located at (2, 3)?

Back

The coordinates of Point A are 2 on the x-axis and 3 on the y-axis.

Tags

CCSS.5.G.A.1

Front

If Point B is at (4, 5) and Point C is at (1, 2), what is the slope between these two points?

Back

The slope between Point B (4, 5) and Point C (1, 2) is (2 - 5) / (1 - 4) = -3 / -3 = 1.

Tags

CCSS.8.EE.B.5