Slope from 2 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 line is vertical, meaning it goes straight up and down.

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 positive, what does that indicate about the line's direction?

Back

The line rises from left to right.

Front

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

Back

The line falls from left to right.

Front

Find 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

What is the slope of the line that passes through the points (-1, -1) and (3, 3)?

Back

m = (3 - (-1)) / (3 - (-1)) = 4/4 = 1

Front

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

Back

The slope represents the rate of change between two variables.

Front

How do you interpret a slope of 0 in a real-world scenario?

Back

It indicates no change in the dependent variable as the independent variable changes.