Slope Test Review

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a positive slope indicate about a line?

Back

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

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where there is no vertical change as the x-coordinate changes.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where there is no horizontal change as the x-coordinate remains constant.

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 slope of the line represented by the points (3, 7) and (-4, 2)?

Back

The slope is 5/7.

Front

If a line has a slope of 0, what can be said about its equation?

Back

The equation of the line is of the form y = b, where b is the y-intercept.

Front

If a line has an undefined slope, what can be said about its equation?

Back

The equation of the line is of the form x = a, where a is the x-coordinate of any point on the line.

Front

What is the slope of a line that goes through the points (1, 2) and (1, 5)?

Back

The slope is undefined.