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 (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of the output (y) with respect to the input (x). It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

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 output value (y) for a given input value (x) in a linear equation?

Back

To find the output value (y), substitute the input value (x) into the equation and solve for y.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

What is a table of values in relation to linear equations?

Back

A table of values lists pairs of input (x) and output (y) values that satisfy a linear equation.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How can you determine if a table of values represents a linear equation?

Back

If the differences between the output values (y) are constant for equal differences in the input values (x), the table represents a linear equation.

Tags

CCSS.HSF-LE.A.1B

Front

What does it mean for a graph to represent a table of values?

Back

A graph represents a table of values if each point on the graph corresponds to a pair of (x, y) values from the table.

Tags

CCSS.8.EE.B.5

Front

How do you graph a linear equation using a table of values?

Back

1. Create a table of values for the equation. 2. Plot the points (x, y) on a coordinate plane. 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 the position of a point on the graph, where x is the horizontal position and y is the vertical position.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Front

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

Back

A positive slope means the line rises from left to right, while a negative slope means the line falls from left to right.

Tags

CCSS.8.EE.B.5