Slope Intercept 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

What does the slope of a line represent in a real-world context?

Back

The slope represents the rate of change or 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 represents the value of y when x is 0, often interpreted as the starting value in real-world problems.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

In the equation y = 1.5x + 20, what does the number 20 represent?

Back

The number 20 represents the fixed cost or the y-intercept, which is the entrance fee in this context.

Front

If a job pays $15 per hour and starts with $20, what is the equation representing total earnings after x hours?

Back

The equation is y = 15x + 20.

Front

What is the significance of the y-intercept in a salary graph?

Back

The y-intercept indicates the starting salary before any hours are worked.

Front

How can you interpret a slope of 2 in a real-world scenario?

Back

A slope of 2 means that for every unit increase in x, y increases by 2 units.

Front

What is the first step in solving a word problem involving slope and intercept?

Back

Identify the variables and what they represent in the context of the problem.

Front

How do you determine the total cost from a linear equation in a word problem?

Back

Substitute the value of x (number of items or hours) into the equation to find the total cost (y).