Slope from a Graph (6.2.21)

Front

What is the definition of slope in a graph?

Back

Slope is a measure of the steepness or incline of a line, calculated as the change in the vertical direction (rise) divided by the change in the horizontal direction (run).

Front

How do you calculate the slope from 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 the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

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 a line has a slope of -1, what does this mean?

Back

It means that for every unit increase in x, there is a one unit decrease in y.

Front

How can you identify the slope from a graph visually?

Back

You can identify the slope by selecting two points on the line, calculating the rise and run between them, and then using the slope formula.

Front

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

Back

The slope is 2.

Front

If a line goes down from left to right, what type of slope does it have?

Back

It has a negative slope.