Slope Intercept From- Word Problems

Front

What does 'm' represent in the slope-intercept form equation y=mx+b?

Back

The slope of the line.

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

How do you identify the slope from a word problem?

Back

Look for the rate of change or the amount that y changes for each unit change in x.

Front

In the equation y = 5x + 20, what does the number 20 represent?

Back

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

Front

What is the significance of the y-intercept in a real-world context?

Back

It represents the initial value or starting point before any changes occur.

Front

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

Back

Identify the fixed costs (y-intercept) and the variable costs (slope) from the problem.

Front

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

Back

The rate of descent of the airplane in feet per minute.

Front

What does it mean if the slope of a line is negative in a real-world scenario?

Back

It indicates a decrease in the value of y as x increases.

Front

How do you determine the total cost from a canoe rental problem?

Back

Add the fixed transportation fee to the variable cost per hour multiplied by the number of hours.

Front

What is the formula to calculate the total cost of renting a bike for x hours if the rental fee is $4 plus $1.50 per hour?

Back

y = 1.50x + 4.