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 of a linear equation represent?

Back

The slope represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the equation y = mx + b.

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 linear 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 can you determine if a point lies on the line represented by a linear equation?

Back

Substitute the x value of the point into the equation and see if the resulting y value matches the y value of the point.

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 and analyze.

Front

How do you find missing output values in a table for a linear equation?

Back

To find missing output values, use the linear equation to calculate the corresponding y values for the given x values.

Front

What does it mean for two graphs to represent the same linear equation?

Back

Two graphs represent the same linear equation if they have the same slope and y-intercept, meaning they lie on top of each other.

Front

What is the significance of the x-axis and y-axis in graphing?

Back

The x-axis represents the independent variable (x values), while the y-axis represents the dependent variable (y values) in a graph.