Slope Formula, Proportional vs. Non Proportional

Front

What is the slope formula?

Back

The slope formula is given by the equation: \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where (x1, y1) and (x2, y2) are two points on a line.

Front

How do you find the slope of a line passing through two points?

Back

To find the slope, use the formula: \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Substitute the coordinates of the two points into the formula.

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 does it mean if the slope is zero?

Back

A slope of zero means the line is horizontal, indicating that there is no change in the y-value as the x-value changes.

Front

What does it mean if the slope is undefined?

Back

An undefined slope means the line is vertical, indicating that there is no change in the x-value as the y-value changes.

Front

What is a proportional relationship?

Back

A proportional relationship is one where the ratio of y to x is constant, meaning the graph passes through the origin (0,0) and is a straight line.

Front

What is a non-proportional relationship?

Back

A non-proportional relationship does not have a constant ratio of y to x, and the graph does not pass through the origin.

Front

How can you tell if a graph is proportional?

Back

A graph is proportional if it is a straight line that passes through the origin (0,0).

Front

How can you tell if a graph is non-proportional?

Back

A graph is non-proportional if it is a straight line that does not pass through the origin.