Writing Linear Equations - Word Problems

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Front

In the equation y = mx + b, what does 'm' represent?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

How do you determine the slope from a word problem involving growth or decline?

Back

The slope can be determined by identifying the rate of change in the context of the problem, such as growth rate or decline rate.

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

Write the equation for a situation where a plant starts at 5 cm and grows 3 cm per month.

Back

The equation is y = 3x + 5, where y is the height of the plant and x is the number of months.

Front

If a service has a startup fee and a monthly fee, how can you express the total cost in a linear equation?

Back

The total cost can be expressed as y = mx + b, where m is the monthly fee and b is the startup fee.

Front

What is the equation for a holiday meal that costs $12.50 per person plus a $30 delivery fee?

Back

The equation is y = 12.50x + 30, where y is the total cost and x is the number of people.

Front

How can you interpret the slope in a real-world context?

Back

The slope indicates the rate of change in the situation, such as how much something increases or decreases per unit.

Front

What does a negative slope indicate in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, showing a decline in the relationship.

Front

In the equation y = -25x + 120, what does the 120 represent?

Back

In the equation y = -25x + 120, the 120 represents the initial amount, such as the starting gallons of water in a tank.