8.4C: Slope and Y-Intercept

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

What does the y-intercept (b) represent in the equation y = mx + b?

Back

The y-intercept (b) is the value of y when x = 0.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

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

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 of the line.

Front

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

Back

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

Front

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

Back

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

Front

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

Back

The slope is 3.