Real World Linear Equations (Table,

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine the slope from a linear equation in slope-intercept form?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How can you write an equation from a word problem involving a fixed amount added over time?

Back

Identify the initial amount and the fixed amount added per time unit, then use the slope-intercept form to write the equation.

Front

What is the first step in solving a word problem involving total sales and individual item prices?

Back

Identify the total amount made and the price per item, then set up an equation to find the number of items sold.

Front

How do you interpret a table of values in relation to a linear equation?

Back

A table of values shows pairs of x and y coordinates that can be used to identify the slope and y-intercept of the linear equation.

Front

What is the relationship between the slope and the rate of change in a linear equation?

Back

The slope represents the rate of change; it indicates how much y changes for a unit change in x.

Front

How can you find the number of items left after a certain number of days if you know the initial amount and the daily consumption?

Back

Use the equation y = initial amount - (daily consumption * number of days) to find the remaining amount.

Front

What does a linear graph represent in real-world situations?

Back

A linear graph represents a constant rate of change between two variables, showing how one variable affects another.

Front

How do you set up an equation for a situation where a fixed amount is subtracted over time?

Back

Identify the initial amount and the fixed amount subtracted per time unit, then use the equation y = initial amount - (amount subtracted * time).