Graphing with a Table of Values

Front

What is a table of values?

Back

A table of values is a mathematical table used to organize pairs of numbers that represent the relationship between two variables, typically x and y.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Front

How do you find the y-value from an equation given an x-value?

Back

Substitute the x-value into the equation and solve for y.

Tags

CCSS.HSF.IF.A.2

Front

What does the slope of a linear equation represent?

Back

The slope represents the rate of change of y with respect to x, indicating 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 value of y when x is 0, representing where the line crosses the y-axis.

Front

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

Back

If the differences between consecutive y-values are constant for equal differences in x-values, it represents a linear function.

Tags

CCSS.HSF-LE.A.1B

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

If y = 2x + 3, what is the y-value when x = 4?

Back

y = 2(4) + 3 = 8 + 3 = 11.

Tags

CCSS.HSF.IF.A.2

Front

What does it mean for two equations to be equivalent?

Back

Two equations are equivalent if they have the same solution set, meaning they represent the same line on a graph.

Tags

CCSS.8.EE.C.7A

Front

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

Back

Create a table of values by choosing x-values, calculating corresponding y-values, and then plotting the points on a graph.

Front

What is the significance of the point (0, b) in a linear equation?

Back

The point (0, b) is the y-intercept, indicating where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3