Slope Intercept Word Problems

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you identify the slope in a word problem?

Back

The slope represents the rate of change in the context of the problem, often described as 'per unit' (e.g., dollars per hour, miles per hour).

Front

What does the y-intercept represent in a word problem?

Back

The y-intercept represents the starting value or initial condition before any changes occur.

Front

Write the equation for a situation where a person earns $10 per hour and starts with $400 debt.

Back

y = 10x - 400

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 already run 4 miles and runs 1 mile per hour.

Back

y = x + 4

Front

Write the equation for a situation where a person knits 3 centimeters of scarf each night.

Back

y = 3x

Front

Write the equation for a situation where a person cycles 5 kilometers during each trip to work.

Back

y = 5x

Front

What is the significance of the coefficient in the slope-intercept form?

Back

The coefficient (m) indicates the steepness of the line and the direction of the relationship (positive or negative).

Front

How can you determine the total distance traveled from the number of trips made?

Back

Multiply the number of trips (x) by the distance per trip (slope) to find the total distance (y).