Alg Flashcardizz MP 12-5 - THURS BLOCK

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = \frac{y2 - y1}{x2 - x1}.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the slope of the line that passes through the points (670, -45) and (1350, 890)?

Back

The slope is \frac{11}{8}.

Front

What is the slope of the line that passes through the points (9, 0) and (14, 2)?

Back

The slope is \frac{2}{5}.

Front

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

Back

A slope is positive if it rises, negative if it falls, zero if it is horizontal, and undefined if it is vertical.

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the equation of the line that goes through the points (3, -1) and (2, -4)?

Back

The equation is y = 3x - 10.

Front

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

Back

The slope can represent rates of change, such as speed, growth, or decline in various contexts.