IA 2

Front

What is the solution to a system of equations represented by two intersecting lines?

Back

The solution is the point where the two lines intersect, which represents the values of the variables that satisfy both equations.

Front

How do you convert a decimal number to scientific notation?

Back

To convert a decimal to scientific notation, move the decimal point to the right of the first non-zero digit and count the number of places moved. This gives you a power of 10 that is negative for decimals less than 1.

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, showing an inverse relationship between the two variables.

Front

What is the general form of a linear equation?

Back

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

Front

What are parallel lines in terms of slope?

Back

Parallel lines have the same slope but different y-intercepts, meaning they will never intersect.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you determine the slope of a line from a graph?

Back

The slope of a line can be determined by selecting two points on the line and using the formula (change in y) / (change in x).

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1, indicating they intersect at a right angle.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) has exactly one output (y-value).

Front

How can you identify a linear equation from a set of points?

Back

A set of points represents a linear equation if they all lie on a straight line when graphed.