Slope Review

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

How do you determine the slope from a word problem involving distance and time?

Back

The slope can be determined by identifying the rate of change, which is typically the distance per unit of time.

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 from a word problem involving a starting amount and a rate of change?

Back

Identify the starting amount as the y-intercept and the rate of change as the slope, then use the slope-intercept form to write the equation.

Front

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

Back

The slope represents the rate of change in a situation, such as speed, cost per hour, or any other rate.

Front

How do you find the total cost in a rental situation with a fixed fee and a variable fee?

Back

The total cost can be found by adding the fixed fee to the product of the variable fee and the number of units (e.g., hours) used.

Front

What is the formula to calculate the remaining balance in an account after a series of deductions?

Back

The remaining balance can be calculated using the formula y = initial amount - (deduction per unit * number of units).

Front

How do you interpret the slope and y-intercept from a graph?

Back

The slope indicates the steepness and direction of the line, while the y-intercept shows where the line crosses the y-axis.

Front

What is the relationship between the slope and the direction of a line on a graph?

Back

A positive slope indicates the line rises from left to right, while a negative slope indicates it falls from left to right.

Front

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

Back

Identify key quantities, determine the relationship between them, and express this relationship in the form of a linear equation.