Slope from two points

Front

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

Back

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

Front

What does it mean if the slope of a line is undefined?

Back

The slope is undefined when the line is vertical, meaning the x-coordinates of the two points are the same.

Front

Calculate the slope of the line that passes through the points (2, 3) and (4, 7).

Back

m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

If the slope of a line is negative, what does this indicate about the line's direction?

Back

A negative slope indicates that the line descends from left to right.

Front

How do you determine if two lines are parallel based on their slopes?

Back

Two lines are parallel if they have the same slope.

Front

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

Back

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

Front

If a line has a slope of 3, what does this mean in terms of rise over run?

Back

For every 3 units the line rises, it runs 1 unit to the right.

Front

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

Back

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

Front

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

Back

The slope can be identified by selecting two points on the line and calculating the rise over run.