Slope

Front

What is the definition of slope in a linear equation?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation y = mx + b.

Front

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

Back

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

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

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 positive, what does that indicate about the direction of the line?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the slope of the line represented by the equation y = 3x - 5?

Back

The slope of the line is 3.

Front

How can you determine the slope from a graph of a line?

Back

You can determine the slope by selecting two points on the line, calculating the rise (change in y) and run (change in x), and using the formula m = rise/run.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

If two lines are parallel, they have the same slope.