Core Ch. 2 Test 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 of a line given two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

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 b in the slope-intercept form y = mx + b.

Front

How can you write an equation for a situation involving a starting value and a rate of change?

Back

You can write the equation in the form y = mx + b, where m is the rate of change and b is the starting value.

Front

What is a growth pattern in a sequence?

Back

A growth pattern in a sequence refers to the consistent increase or decrease in the values of the sequence, often represented by a common difference.

Front

How do you find the common difference in an arithmetic sequence?

Back

The common difference can be found by subtracting any term from the subsequent term in the sequence.

Front

What is sequence notation?

Back

Sequence notation is a way to express the terms of a sequence using a formula, typically in the form t(n) = an + b, where a and b are constants.

Front

How do you write an equation for a linear relationship based on a real-world scenario?

Back

Identify the starting value and the rate of change, then use the slope-intercept form y = mx + b to write the equation.