Module 2 Topic 1, Part 2

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you calculate the average rate of change between two points?

Back

The average rate of change between two points (x1, y1) and (x2, y2) is calculated using the formula: (y2 - y1) / (x2 - x1).

Front

What does the slope of a line represent in a real-world context?

Back

The slope of a line represents the rate of change of one variable with respect to another, often interpreted as speed or efficiency in real-world scenarios.

Front

What is the significance of the coordinates (0, 0) in a linear equation?

Back

The coordinates (0, 0) represent the origin in a Cartesian coordinate system, often used as a reference point for linear equations.

Front

What is the meaning of a constant speed in the context of a delivery truck's journey?

Back

A constant speed means that the delivery truck travels the same distance in equal intervals of time, resulting in a linear relationship between distance and time.

Front

How can you convert a point-slope equation to slope-intercept form?

Back

To convert from point-slope form (y - y1 = m(x - x1)) to slope-intercept form (y = mx + b), solve for y to isolate it on one side.

Front

What is the formula for calculating slope (m) using two points?

Back

The formula for calculating slope (m) using two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Front

What is the relationship between the slope and the steepness of a line?

Back

The slope of a line indicates its steepness; a larger absolute value of the slope corresponds to a steeper line.

Front

How do you interpret a negative slope in a real-world scenario?

Back

A negative slope indicates that as one variable increases, the other variable decreases, representing an inverse relationship.