6.6B, 6.6C, 6.11A - Algebraic Relationships and Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface where points are defined by a pair of numerical coordinates (x, y).

Tags

CCSS.5.G.A.1

Front

What are independent and dependent variables?

Back

Independent variables are the inputs (x-values) that can be controlled, while dependent variables are the outputs (y-values) that depend on the independent variables.

Tags

CCSS.6.EE.C.9

Front

What does the equation y = mx + b represent?

Back

It represents the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What does the term 'linear relationship' mean?

Back

A linear relationship is a relationship between two variables that can be represented by a straight line on a graph.

Tags

CCSS.HSF-LE.A.1B

Front

What is the significance of the point (0,0) on the coordinate plane?

Back

The point (0,0) is called the origin, where the x-axis and y-axis intersect.

Tags

CCSS.5.G.A.1

Front

How do you plot a point on the coordinate plane?

Back

To plot a point (x, y), start at the origin, move x units along the x-axis, and then y units up or down along the y-axis.

Tags

CCSS.5.G.A.2

Front

What is the formula for calculating the total weight of a firefighter and their equipment?

Back

The total weight t can be calculated using the equation t = x + 60, where x is the weight of the firefighter.

Front

What does the term 'function' mean in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1