Slope, 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 is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

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

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the y-intercept in the equation y = 3x + 2?

Back

The y-intercept is 2.

Front

If a line has a positive slope, what does that indicate about its direction?

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 its direction?

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 = -2x + 5?

Back

The slope is -2.

Front

What is the slope of the line that passes through the points (1, 2) and (3, 6)?

Back

The slope is 2.