Finding Slope from a Table, Graph, and Points

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 is a positive slope?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, resulting in an upward slant from left to right.

Front

What is a negative slope?

Back

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

Front

What does zero slope mean?

Back

Zero slope means that there is no vertical change as the x-value changes; the line is horizontal.

Front

What does undefined slope mean?

Back

Undefined slope occurs when a line is vertical, meaning there is no horizontal change as the y-value changes.

Front

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

Back

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

Front

What is the slope of the line represented by the points (2, 3) and (6, 15)?

Back

Slope = (15 - 3) / (6 - 2) = 12 / 4 = 3.

Front

If a line has a slope of 4, what does this indicate about the line?

Back

A slope of 4 indicates that for every 1 unit increase in x, the y-value increases by 4 units.

Front

What type of slope does a horizontal line have?

Back

A horizontal line has a slope of zero.

Front

What type of slope does a vertical line have?

Back

A vertical line has an undefined slope.