Slope

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by the letter 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate between two points on the line.

Front

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

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that goes through the points (−1,−2) and (−3,−4).

Back

1

Front

Which of these lines has a slope of -3? (Options: A, B, C, D)

Back

B

Front

Find the slope of the line that passes through the points (2, 3) and (5, 7).

Back

Slope = (7 - 3) / (5 - 2) = 4/3.

Front

What does 'm' stand for in the slope formula?

Back

'm' stands for slope.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope is 3/4.

Front

What is the slope of a line that falls 5 units for every 2 units it runs?

Back

The slope is -5/2.