Matching Equations to tables and graphs

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

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 (positive or negative).

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x = 0.

Front

How do you determine if an equation matches a table of values?

Back

To determine if an equation matches a table of values, substitute the x-values from the table into the equation and check if the resulting y-values match those in the table.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x). In other words, for every x-value, there is one corresponding y-value.

Tags

CCSS.8.F.A.1

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line when graphed.

Tags

CCSS.8.EE.C.7A

Front

What is the difference between dependent and independent variables?

Back

The independent variable is the variable that is changed or controlled in an experiment (usually x), while the dependent variable is the variable that is measured or affected (usually y).

Tags

CCSS.6.EE.C.9

Front

How can you identify a linear relationship from a graph?

Back

A linear relationship can be identified from a graph if the points form a straight line. The slope is constant between any two points on the line.

Tags

CCSS.HSF-LE.A.1B

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

What is the significance of the coordinates (x, y)?

Back

The coordinates (x, y) represent a point on the Cartesian plane, where x is the horizontal position and y is the vertical position.

Tags

CCSS.5.G.A.1