Slope Intercept Form 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 the formula 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 for a real-world scenario involving a fixed cost and a variable cost?

Back

You can write the equation in slope-intercept form as y = mx + b, where m is the variable cost per unit and b is the fixed cost.

Front

What is the significance of a negative slope in a real-world context?

Back

A negative slope indicates that as one variable increases, the other variable decreases, representing an inverse relationship.

Front

How do you determine the total cost from a rental service that charges a fixed fee and a variable fee per hour?

Back

The total cost can be calculated using the equation y = mx + b, where m is the hourly rate and b is the fixed fee.

Front

What is the formula to calculate the altitude of an airplane descending at a constant rate?

Back

The altitude can be modeled by the equation y = -mx + b, where m is the rate of descent and b is the initial altitude.

Front

How do you interpret the slope in the context of a canoe rental service?

Back

In the canoe rental service, the slope (30) represents the cost per hour of renting a canoe.

Front

What does it mean if the slope of a line is zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes; the output remains constant.

Front

How can you find the cost of renting a canoe for a specific number of hours using the equation y = 30x + 20?

Back

Substitute the number of hours (x) into the equation to calculate the total cost (y).