Slope Intercept From- Word Problems

Front

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

Back

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

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

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

Back

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

Front

How do you write an equation from a word problem involving a fixed cost and a variable cost?

Back

Identify the fixed cost as the y-intercept and the variable cost as the slope.

Front

In the equation y = 30x + 20, what does 30 represent?

Back

30 represents the cost per hour of renting a canoe.

Front

In the equation y = -2000x + 30000, what does -2000 represent?

Back

-2000 represents the rate of descent of the airplane in feet per minute.

Front

How do you determine the total cost from a word problem?

Back

Add the fixed cost to the product of the variable cost and the number of units.

Front

What is the equation for a babysitting service that charges $5 for gas and $15 per hour?

Back

y = 15x + 5.

Front

What is the fixed cost in the equation y = 5x + 20?

Back

The fixed cost is $20.

Front

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

Back

Identify the fixed cost and variable cost, then write the equation as y = mx + b.