Constant Rate of Change/Slope/Direct Variation

Front

What is the definition of slope?

Back

The slope is a measure of the steepness of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

What does a positive slope indicate about a line?

Back

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

Front

What is direct variation?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the Y-axis, represented as (0, b) in the equation of a line y = mx + b.

Front

What is the formula for direct variation?

Back

The formula for direct variation is y = kx, where k is the constant of variation.

Front

How do you identify a direct variation graph?

Back

A direct variation graph is a straight line that passes through the origin (0,0).

Front

What is the rate of change in a linear function?

Back

The rate of change is the same as the slope and represents how much the dependent variable (y) changes for a unit change in the independent variable (x).

Front

What does the term 'rise' refer to in slope calculations?

Back

'Rise' refers to the vertical change between two points on a line.