Direct Variation and Slope Review for STAAR

Front

What is Direct Variation?

Back

Direct Variation is a relationship between two variables where one variable is a constant multiple of the other. It can be expressed as y = kx, where k is a non-zero constant.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how much y changes for a unit change in x.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the y-intercept of a line?

Back

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

Front

In the equation y = mx + b, what do m and b represent?

Back

In the equation y = mx + b, m represents the slope of the line, and b represents the y-intercept.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a negative slope indicate about a line?

Back

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

Front

If the slope of a line is 0, what does that mean?

Back

If the slope of a line is 0, it means the line is horizontal, indicating that y does not change as x changes.

Front

What is the slope of the line represented by the equation y = 3x?

Back

The slope of the line represented by the equation y = 3x is 3.

Front

What is the slope of the line represented by the equation y = -2x + 4?

Back

The slope of the line represented by the equation y = -2x + 4 is -2.