Flashcard Mod 3 NG - Optional EC

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. In the equation of a line, it is the value of y when x = 0.

Front

What are the x- and y-intercepts on a graph?

Back

The x-intercept is the point where a line crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0). For example, (5,0) and (0,5) are intercepts.

Front

How do you find the solution to a system of equations?

Back

The solution to a system of equations is the point where the equations intersect, representing the values of the variables that satisfy all equations simultaneously.

Front

What does the solution (4, -1) represent in a system of equations?

Back

It represents the values of x and y that satisfy both equations in the system, meaning x=4 and y=-1.

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, where m is the slope and b is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It indicates how much y changes for a unit change in x.

Front

What does the equation x + y = 6 represent?

Back

This equation represents a line on a graph where the sum of x and y coordinates equals 6. It can be used to find pairs of values (x, y) that satisfy this condition.

Front

How do you set up a system of equations from a word problem?

Back

Identify the variables, translate the relationships and conditions into equations, and ensure the equations represent the situation accurately.

Front

What is the significance of the total bill in a restaurant problem?

Back

The total bill provides a constraint that can be used to form an equation, helping to determine the quantities of different items ordered.

Front

What does the equation 14.80x + 17y = 91 represent?

Back

This equation represents the total cost of meals ordered, where x is the number of chicken dinners and y is the number of steak dinners.