Flashcard: TEKS 7.7 (Linear Relationships)

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6

Front

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept (b) in a linear equation?

Back

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

Front

What type of slope is represented by a positive value?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

Front

What type of slope is represented by a negative value?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates such as speed, cost per item, or any other rate of change.