Slope and Slope-Intercept Form

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no vertical change as you move along the line.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical, meaning there is no horizontal change as you move along the line.

Front

In the slope-intercept form of a line, what does 'y = mx + b' represent?

Back

'm' represents the slope of the line, and 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the slope in the equation y = 3x + 5?

Back

The slope is 3.

Front

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

Back

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

Front

What is the y-intercept in the equation y = -2x + 4?

Back

The y-intercept is 4.

Front

If a line has a positive slope, 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 a line has a negative slope, 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 = 1/2x - 3?

Back

The slope is 1/2.