Slope intercept from word problems

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

How do you identify the slope in a linear equation?

Back

The slope (m) in a linear equation represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

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

Back

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

Front

How can you write an equation from a word problem involving a fixed cost and a variable cost?

Back

Identify the fixed cost as the y-intercept and the variable cost per unit as the slope, then use the slope-intercept form to write the equation.

Front

In the equation y = 30x + 20, what do the numbers 30 and 20 represent?

Back

In this equation, 30 represents the cost per hour (slope), and 20 represents the fixed transportation fee (y-intercept).

Front

How do you convert a word problem into a linear equation?

Back

Identify the quantities involved, determine the fixed and variable costs, and express the relationship using the slope-intercept form.

Front

What is the significance of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

How do you determine the total cost from a rental service based on hours rented?

Back

Multiply the hourly rate by the number of hours rented and add any fixed fees to find the total cost.

Front

What does the equation y = -20x + 100 represent in a real-world context?

Back

This equation represents a situation where an individual starts with $100 and spends $20 each day, showing a decrease in total amount over time.

Front

How can you find the amount saved after a certain number of months using a linear equation?

Back

Use the equation y = mx + b, where m is the amount saved per month, x is the number of months, and b is the initial amount.