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.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) 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).

Front

What is the y-intercept (b) in a linear equation?

Back

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

Front

How do you create a table of values for a linear equation?

Back

To create a table of values, choose several x-values, substitute them into the linear equation to find the corresponding y-values, and list the pairs (x, y).

Front

What is the purpose of graphing a linear equation?

Back

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

Front

How do you find the missing y-value in a table for a linear equation?

Back

To find the missing y-value, substitute the given x-value into the linear equation and solve for y.

Front

What does it mean if a table of values does not represent a linear equation?

Back

If a table of values does not represent a linear equation, the y-values do not change at a constant rate as the x-values change, indicating a non-linear relationship.

Front

What is the significance of the coordinates in a table for graphing?

Back

The coordinates in a table (x, y) represent points on the graph. Each pair corresponds to a point where the line will pass through.

Front

How can you verify if a graph represents a given linear equation?

Back

To verify if a graph represents a linear equation, check if the line passes through the points listed in the table of values for that equation.

Front

What is the relationship between the slope and the direction of the line?

Back

If the slope is positive, the line rises from left to right. If the slope is negative, the line falls from left to right.