Identify Slope and Y-intercept from Verbal Descriptions

Front

What is the slope in the equation y = mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0, indicating where the line crosses the y-axis.

Front

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

Back

y = -20x + 100

Front

Write the equation for a situation where a person earns $15 per hour and starts with $20.

Back

y = 15x + 20

Front

Write the equation for a situation where a person has made 8 tacos and can make 3 more per minute.

Back

y = 3x + 8

Front

Write the equation for a situation where a tree grows 1 inch per month and starts at 18 inches tall.

Back

y = x + 18

Front

How do you identify the slope from a verbal description?

Back

Identify the rate of change described in the problem, which corresponds to the coefficient of x in the equation.

Front

How do you identify the y-intercept from a verbal description?

Back

Look for the initial value or starting point mentioned in the problem, which corresponds to the constant term in the equation.

Front

What is the general form of a linear equation?

Back

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

Front

If a person saves $50 each week starting with $200, what is the equation?

Back

y = 50x + 200