slope intercept form word problems

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the value of y when x = 0; it represents the starting point of the line on the y-axis.

Front

In the equation y = 5x + 20, what does the number 5 represent?

Back

The number 5 represents the slope of the line, indicating the rate of change of y with respect to x.

Front

If a taxi charges $4.25 as a fixed fee and $2.75 per mile, what is the equation in slope-intercept form?

Back

The equation is y = 2.75x + 4.25.

Front

What does the fixed fee in a linear cost model represent?

Back

The fixed fee is the initial cost incurred before any variable costs are added.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a cost model, it indicates how much the total cost increases per unit of the independent variable.

Front

What is the average rate of change between two points?

Back

The average rate of change is the change in the dependent variable divided by the change in the independent variable over a specified interval.

Front

In the function C(n) = 110n + 900, what does the 110 represent?

Back

The 110 represents the cost per airing of the commercial.

Front

How can you determine the total cost of attending an event with a fixed entry fee and variable costs?

Back

The total cost can be modeled with a linear equation: y = mx + b, where m is the variable cost per unit and b is the fixed fee.