Finding Slope

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y (rise) over the change in x (run).

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

What is the slope of a line that rises from left to right?

Back

The slope is positive.

Front

What is the slope of a line that falls from left to right?

Back

The slope is negative.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

Find the slope of the line passing through the points (2, 3) and (5, 11).

Back

The slope is m = (11 - 3) / (5 - 2) = 8 / 3.

Front

Find the slope of the line passing 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 4, what does this mean in terms of rise and run?

Back

For every 4 units the line rises, it runs 1 unit to the right.

Front

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

Back

The slope is -2.