Module 2 Topic 1

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 is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the graph.

Front

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

Back

The slope represents the rate of change, indicating how much the dependent variable changes for a unit change in the independent variable.

Front

What is a y-intercept in a linear equation?

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

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the graph intersects the y-axis.

Front

What does it mean for a function to increase over its entire domain?

Back

A function increases over its entire domain if, for any two points x1 and x2 in the domain where x1 < x2, the function value at x2 is greater than the function value at x1.

Front

What is the significance of the slope in the context of a delivery truck's journey?

Back

In the context of the delivery truck's journey, the slope represents the speed of the truck, indicating how many miles it travels per hour.

Front

What is the relationship between the slope and the rate of change in a linear function?

Back

The slope of a linear function is equal to the rate of change, showing how much the output (y) changes for a unit change in the input (x).

Front

How do you write an equation in point-slope form given a point and a slope?

Back

To write an equation in point-slope form, use the formula y - y1 = m(x - x1), substituting the given point (x1, y1) and the slope m.

Front

What does the y-intercept represent in a real-world scenario, such as a carnival game?

Back

In a real-world scenario, the y-intercept represents the initial value of the dependent variable before any independent variable changes, such as the number of prizes before any games are played.