Slope Intercept From- 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

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

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you identify the slope from a word problem?

Back

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

Front

If a bike rents for $4 plus $1.50 per hour, what is the slope in the equation?

Back

The slope is 1.50, representing the cost per hour.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line.

Front

Write the equation for a situation where a startup fee is $20 and a monthly fee is $5.

Back

y = 5x + 20.

Front

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

Back

Identify the fixed cost (y-intercept) and the variable cost (slope), then write the equation.

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

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 costs.

Front

If Piper charges $5 for gas and $15 per hour to babysit, what is the total cost equation?

Back

The equation is not provided in the options, but it would be y = 15x + 5.