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 (3, 4) and (3, 10).

Back

The slope is undefined.

Front

What is the slope of a line that rises 3 units for every 2 units it runs to the right?

Back

The slope is 3/2.

Front

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

Back

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

Front

What is the slope of a line that passes through the points (1, 2) and (4, 5)?

Back

The slope is 1.

Front

How do you determine if two points create a horizontal line?

Back

If the y-coordinates of both points are the same, the line is horizontal, and the slope is 0.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

Given the points (2, 3) and (5, 7), what is the slope?

Back

The slope is 4/3.

Front

What is the significance of the slope in a real-world context?

Back

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