Represent Equations (y = mx + b)

Front

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

Back

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

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line, indicating the rate of change of y with respect to x.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the value of y when x is 0.

Front

How do you determine the slope from a word problem involving savings?

Back

The slope can be determined by identifying the amount of change in savings per unit of time, such as dollars saved per month.

Front

What does a negative slope indicate in a real-world context?

Back

A negative slope indicates a decrease in the value of y as x increases, such as losing money or descending in height.

Front

How can you write an equation from a scenario involving a startup fee and a monthly fee?

Back

Identify the startup fee as the y-intercept and the monthly fee as the slope, then use the slope-intercept form to write the equation.

Front

What is the significance of the y-intercept in a real-world application?

Back

The y-intercept represents the initial value or starting point before any changes occur, such as initial savings or starting height.

Front

How do you interpret the slope in a context where a person is selling items?

Back

The slope represents the rate at which items are sold, such as the number of cups sold per hour.

Front

What is the first step in converting a word problem into a linear equation?

Back

Identify the key variables and their relationships, including initial values and rates of change.

Front

How can you find the total amount of money after working a certain number of hours?

Back

Use the equation y = mx + b, where m is the hourly wage, x is the number of hours worked, and b is the initial amount of money.