8.5B-Non-Proportional Linear Relationships

Front

What is a non-proportional linear relationship?

Back

A non-proportional linear relationship is a relationship between two variables that can be represented by a linear equation, but does not pass through the origin (0,0).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the value of x increases, the value of y decreases, resulting in a downward slant from left to right.

Front

How do you calculate the slope (m) 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 linear equation?

Back

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

Front

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

Back

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

Front

If a line has a slope of -2, what does this mean?

Back

A slope of -2 means that for every 1 unit increase in x, y decreases by 2 units.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning that the value of y remains constant regardless of the value of x.

Front

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

Back

The slope can represent rates of change in various contexts, such as speed, cost per item, or growth rates.

Front

How can you determine the slope from a graph?

Back

To determine the slope from a graph, select two points on the line, calculate the rise (change in y) and run (change in x), and use the formula m = rise/run.