8.5I All Representations Review

Front

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

Back

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

Front

How do you determine the slope from a linear equation in slope-intercept form?

Back

The slope can be determined from the equation y = mx + b, where m represents the slope.

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 where the line crosses the y-axis.

Front

How can you write an equation for a real-world scenario involving a fixed cost and a variable cost?

Back

You can write the equation in the form y = mx + b, where m is the variable cost per unit and b is the fixed cost.

Front

What is the slope of the line represented by the equation y = 3x - 4?

Back

The slope of the line is 3.

Front

If a babysitter charges a flat fee plus an hourly rate, how would you represent this with an equation?

Back

You would represent it as C = mh + b, where m is the hourly rate, h is the number of hours, and b is the flat fee.

Front

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

Back

The slope represents the rate of change, indicating how much y changes for a unit change in x.

Front

How do you convert a word problem into a linear equation?

Back

Identify the variables, determine the fixed and variable costs, and express the relationship in the form y = mx + b.

Front

What is the equation for the total cost of renting a snowboard for x hours?

Back

The equation is y = 15x + 25, where 15 is the hourly rate and 25 is the rental fee.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.