Slope intercept from 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 represent in a real-world context?

Back

The slope represents the rate of change or how much one quantity changes in relation to another.

Front

What does the y-intercept represent in a real-world context?

Back

The y-intercept represents the starting value of a quantity when the independent variable (x) is zero.

Front

Write the equation for a situation where a person starts with $100 and spends $20 per day.

Back

y = -20x + 100.

Front

If a tree grows 1 inch per month and starts at 18 inches, what is the equation for its height after x months?

Back

y = x + 18.

Front

What is the equation for the cost of renting a canoe for x hours with a $20 fee and $30 per hour?

Back

y = 30x + 20.

Front

If Sandra has a $20 gift card and spends $3 each month, what is the equation for her remaining balance after x months?

Back

y = -3x + 20.

Front

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

Back

The y-intercept is the value of y when x = 0.

Front

What is the significance of a negative slope in a word problem?

Back

A negative slope indicates that the quantity is decreasing over time.

Front

What is the significance of a positive slope in a word problem?

Back

A positive slope indicates that the quantity is increasing over time.