Equations in Slope-Intercept Form 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 real-world context?

Back

The slope represents the rate of change or how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

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

Back

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

Front

How do you identify the slope and y-intercept from the equation y = 2x + 5?

Back

The slope (m) is 2 and the y-intercept (b) is 5.

Front

Write the equation for a situation where a person pays a flat fee of $10 plus $2 for each item purchased.

Back

y = 2x + 10.

Front

If a car rental company charges $15 per hour plus a $20 fee, what is the equation in slope-intercept form?

Back

y = 15x + 20.

Front

How do you convert a word problem into a slope-intercept equation?

Back

Identify the fixed cost (y-intercept) and the variable cost per unit (slope), then write the equation in the form y = mx + b.

Front

In the equation y = 3x + 12, what does the 12 represent?

Back

The 12 represents the y-intercept, which is the starting value when x is 0.

Front

If a person saves $50 each month starting with $200, what is the equation for their savings?

Back

y = 50x + 200.

Front

What is the first step in solving a word problem involving slope-intercept form?

Back

Read the problem carefully to identify the fixed and variable components.