Graphing Linear Equations Using Tables

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.8.F.B.4

CCSS.HSF.LE.A.2

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

What is a y-intercept?

Back

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

Front

How do you find missing y values in a table of values?

Back

To find missing y values, you can use the linear equation that corresponds to the table or apply the slope to calculate the change in y for given x values.

Tags

CCSS.HSF.IF.A.1

Front

What is the purpose of graphing a linear equation?

Back

Graphing a linear equation helps visualize the relationship between x and y, making it easier to understand how changes in one variable affect the other.

Front

What does it mean for a graph to represent a table of values?

Back

A graph represents a table of values when each point on the graph corresponds to an (x, y) pair from the table.

Tags

CCSS.8.EE.B.5

Front

How can you determine if a graph is correct for a given table?

Back

You can determine if a graph is correct for a table by checking if the plotted points from the table lie on the line of the graph.

Tags

CCSS.8.EE.B.5

Front

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

Back

Coordinates (x, y) represent a specific point on the graph, where x is the horizontal position and y is the vertical position.

Tags

CCSS.5.G.A.1

Front

How do you calculate the slope between two points?

Back

The slope (m) between 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 a table of values in relation to linear equations?

Back

A table of values lists pairs of x and y values that satisfy a linear equation, showing how y changes as x changes.

Tags

CCSS.8.EE.C.8A