12/17: Common Assessment - Slope (8th Grade)

Front

What is the definition of slope?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the change in the y-coordinate divided by the change in the x-coordinate (rise/run).

Front

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

Back

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

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the change in x is zero, leading to division by zero.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in the y-coordinate.

Front

Find the slope of the line passing through the points (6, 7) and (3, 2).

Back

Slope = (2 - 7) / (3 - 6) = -5 / -3 = 5/3.

Front

Find the slope of the line passing through the points (4, 1) and (4, 5).

Back

The slope is undefined because the x-coordinates are the same (4).

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope (m) is 3.

Front

If a line has a slope of -3/2, what does this indicate about its direction?

Back

A slope of -3/2 indicates that the line descends from left to right.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope (m) is -4.

Front

Find the slope of the line that passes through the points (1, 2) and (5, 6).

Back

Slope = (6 - 2) / (5 - 1) = 4 / 4 = 1.