Writing Equations from Tables

Front

What is an equation?

Back

An equation is a mathematical statement that shows the equality of two expressions, typically involving variables.

Front

What is a variable?

Back

A variable is a letter that represents an unknown value in an equation.

Front

What does it mean to find the difference?

Back

Finding the difference means to subtract one number from another.

Front

What is a table in mathematics?

Back

A table is a way to organize data in rows and columns, often used to show relationships between variables.

Front

How do you write an equation from a table?

Back

To write an equation from a table, identify the relationship between the input (x) and output (y) values, then express it in the form y = mx + b.

Front

What does 'y = mx + b' represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

Front

What is the slope in a linear equation?

Back

The slope is a number that describes the steepness of a line, calculated as the change in y divided by the change in x.

Front

What is the y-intercept?

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

If y = 3x + 9, what is the value of y when x = 2?

Back

When x = 2, y = 3(2) + 9 = 15.

Front

If y = x + 5, what is the value of y when x = 4?

Back

When x = 4, y = 4 + 5 = 9.