Slope & Slope-Intercept Form

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 is the y-intercept in the equation y = mx + b?

Back

The y-intercept (b) is the point where the line crosses the y-axis, represented as (0, b).

Front

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

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is an undefined slope?

Back

An undefined slope occurs in vertical lines where x does not change.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How can you identify the slope from the equation y = 3/2x + 3?

Back

The slope is 3/2.

Front

What is the slope of the line represented by the equation y = -5/4x + 1?

Back

The slope is -5/4.

Front

Which of the following is not a type of slope? positive, negative, undefined, all of these are types of slope?

Back

All of these are types of slope.