231206. wu negative and positive slopes

Front

What is the slope in the equation y=mx + b?

Back

The slope (m) represents the rate of change of y with respect to x.

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 a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If the slope of a line is 4/1, what does this mean?

Back

It means for every 1 unit increase in x, y increases by 4 units.

Front

What is the slope of the line that passes through the points (2, 3) and (5, 11)?

Back

Slope = (11 - 3) / (5 - 2) = 8/3.

Front

How can you determine if a slope is positive, negative, or zero from a graph?

Back

A line rising from left to right has a positive slope, falling has a negative slope, and a horizontal line has a zero slope.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.