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 (positive or negative).

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 find the missing y value in a linear equation?

Back

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

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.

Front

How do you create a table of values for the equation y = 4x + 3?

Back

Choose several x values, substitute them into the equation to find the corresponding y values, and list the pairs in a table.

Front

What does it mean for a table to be correct for a linear equation?

Back

A table is correct for a linear equation if all the (x, y) pairs satisfy the equation when substituted.

Front

How can you determine which graph represents a given table of values?

Back

To determine the correct graph, plot the (x, y) pairs from the table on a coordinate plane and see which graph passes through all those points.

Front

What are the steps to graph a linear equation using a table of values?

Back

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

Front

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

Back

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