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 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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.HSF.IF.A.2

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

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.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

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.