Module 2 Topic 1

Front

What is the formula for calculating the average rate of change between two points?

Back

m = \frac{\Delta y}{\Delta x}

Front

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

Back

The point-slope form is written as y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

How do you find the slope from two points (x_1, y_1) and (x_2, y_2)?

Back

The slope m is calculated as m = \frac{y_2 - y_1}{x_2 - x_1}.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, represented as (x, 0).

Front

How do you calculate first differences in a table of values?

Back

First differences are calculated by subtracting each value from the subsequent value in the table.

Front

What does it mean if a table represents a linear relationship?

Back

A linear relationship means that the first differences are constant, indicating a straight-line graph.

Front

What is the significance of the point (0, 0) in a coordinate system?

Back

The point (0, 0) is known as the origin, where the x-axis and y-axis intersect.

Front

What is the relationship between slope and speed in a real-world context?

Back

In a real-world context, the slope can represent speed, indicating how distance changes over time.

Front

How can you determine if a relationship is linear or non-linear from a graph?

Back

A linear relationship will show a straight line, while a non-linear relationship will show a curve.