Slope and y-intercept

Front

What is the definition of slope?

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

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 zero because there is no change in the y-value as the x-value changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined because the change in the x-value is zero, leading to division by zero.

Front

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

Back

'm' represents the slope of the line.

Front

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

Back

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

Front

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

Back

The slope is 2, which is positive.

Front

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

Back

The slope is -3, which is negative.

Front

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

Back

The slope is calculated using the formula: (y2 - y1) / (x2 - x1).