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 is the value of y when x is 0.

Front

How do you find missing y-values using a linear equation?

Back

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

Front

What is the purpose of a table in graphing linear equations?

Back

A table helps organize pairs of x and y values, making it easier to plot points on a graph.

Front

How do you determine if a table is correct for a linear equation?

Back

A table is correct if the y-values calculated from the x-values using the linear equation match the given y-values.

Front

What is the relationship between x and y in a linear equation?

Back

In a linear equation, y changes at a constant rate as x changes, resulting in a straight line when graphed.

Front

How can you graph a linear equation using a table?

Back

1. Create a table of x and y values. 2. Plot the points on a graph. 3. Draw a straight line through the points.

Front

What does it mean if a linear equation has a positive slope?

Back

A positive slope means that as x increases, y also increases, resulting in an upward slant of the line.

Front

What does it mean if a linear equation has a negative slope?

Back

A negative slope means that as x increases, y decreases, resulting in a downward slant of the line.