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.

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.

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.

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.

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.

Front

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

Back

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

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.

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.