Slope Intercept Word Problems

Front

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

Back

The y-intercept represents the starting value or the amount when x is zero.

Front

Write the equation that represents this word problem: Nicholas received $100 for his birthday. He decides to spend $20 per day on whatever he wants.

Back

y = -20x + 100

Front

What does the slope in a linear equation indicate?

Back

The slope indicates the rate of change, showing how much y changes for a unit change in x.

Front

Write the equation that represents this word problem: Nora owes her parents $400 for a computer, so she babysits for $10 per hour.

Back

y = 10x - 400

Front

How do you find the total amount after a certain number of days if you start with a certain amount and spend a fixed amount each day?

Back

Use the equation y = mx + b, where m is the negative spending rate and b is the initial amount.

Front

What is the slope of the line in the equation y = 3x + 5?

Back

The slope is 3.

Front

If a line has a slope of -2, what does this indicate about the relationship between x and y?

Back

As x increases, y decreases at a rate of 2 units for every 1 unit increase in x.

Front

Write the equation for a line that starts at 50 and decreases by 5 for each hour worked.

Back

y = -5x + 50

Front

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

Back

A positive slope indicates that as one quantity increases, the other quantity also increases.

Front

What is the y-intercept in the equation y = 4x + 10?

Back

The y-intercept is 10.