Finding Slope from Two Points

Front

What is the formula to calculate the slope (m) between two points (x1, y1) and (x2, y2)?

Back

The formula for slope is m = (y2 - y1) / (x2 - x1).

Front

If the slope of a line is positive, what does that indicate about the direction of the line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Given the points (3, 4) and (3, 8), what is the slope of the line connecting these points?

Back

The slope is undefined because the x-coordinates are the same.

Front

How do you determine if a slope is steep or gentle?

Back

A steeper slope has a larger absolute value, while a gentler slope has a smaller absolute value.

Front

What is the slope of the line that passes through the points (2, 3) and (5, 7)?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

If a line has a slope of -2, what does this tell you about the line's direction?

Back

A slope of -2 indicates that the line falls from left to right.

Front

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

Back

The slope represents the rate of change between two variables, such as speed or cost per item.

Front

How can you find the slope from a graph of a line?

Back

Select two points on the line, determine their coordinates, and apply the slope formula.