Unit 4 Flashcardizz Review

Front

What is the definition of slope in a linear equation?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you identify the slope from the slope-intercept form of a linear equation?

Back

In the slope-intercept form of a linear equation, y = mx + b, the slope is represented by 'm'. For example, in the equation y = 2x + 4, the slope is 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you convert a standard form equation to slope-intercept form?

Back

To convert a standard form equation (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

Front

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

Back

The y-intercept in the equation y = 2x + 4 is 4, which is the point where the line crosses the y-axis.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The formula for calculating the slope (m) between two points is m = (y2 - y1) / (x2 - x1).

Front

How do you determine if a slope is positive, negative, or zero?

Back

A slope is positive if it rises from left to right, negative if it falls from left to right, and zero if it is a horizontal line.

Front

What is the significance of the slope in real-world applications?

Back

The slope can represent rates of change in real-world applications, such as speed, cost per item, or growth rates.

Front

How do you write the equation of a line given a slope and a point?

Back

To write the equation of a line given a slope (m) and a point (x1, y1), use the point-slope form: y - y1 = m(x - x1).