y=mx+b 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 (m) represent in a word problem?

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 (b) represent in a word problem?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the situation.

Front

If a car depreciates at a rate of $2000 per year, what is the slope of the equation representing its value over time?

Back

The slope is -2000, indicating a decrease in value.

Front

Write the equation for a car that starts at $25,000 and depreciates $2000 per year.

Back

y = -2000x + 25000.

Front

If Mrs. Curren runs 20 minutes every day and has already run 140 minutes, what is the equation for her total running time?

Back

y = 20x + 140.

Front

What is the equation for the total cost of snowboarding if it costs $15 per hour and $25 to rent a board?

Back

y = 15x + 25.

Front

How do you find the y-intercept from a linear equation?

Back

Set x = 0 in the equation and solve for y.

Front

What is the y-intercept of the equation y = 2x - 1?

Back

The y-intercept is -1.

Front

In the equation y = 3x + 4, what does the number 4 represent?

Back

The number 4 represents the y-intercept.