2nd 9 Weeks Review

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees). In terms of slopes, if the product of their slopes is -1, the lines are perpendicular.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

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

If Bob saves $40 per month and starts with $150, what is the equation representing his savings over time?

Back

y = 40x + 150, where y is the total savings and x is the number of months.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.

Front

How do you find the total cost of tickets if you know the cost per ticket and a flat fee?

Back

The total cost can be represented as y = mx + b, where m is the cost per ticket, x is the number of tickets, and b is the flat fee.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables. Solutions to the system are the values that satisfy all equations simultaneously.

Front

How can you represent a real-world situation with a linear equation?

Back

Identify the variables, determine the relationship between them, and express that relationship in the form of a linear equation.

Front

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

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the rate of change of y with respect to x. A positive slope means y increases as x increases, while a negative slope means y decreases as x increases.