Module 2 Topic 1

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) where b is the value of y when x = 0.

Front

How do you interpret the y-intercept in a real-world context?

Back

The y-intercept represents the initial value of a dependent variable when the independent variable is zero.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the independent variable increases, the dependent variable also increases.

Front

What is point-slope form of a linear equation?

Back

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

Front

How do you convert point-slope form to slope-intercept form?

Back

To convert to slope-intercept form (y = mx + b), solve for y in the point-slope equation.

Front

What are first differences in a set of data?

Back

First differences are the differences between consecutive values in a dataset, used to determine if the relationship is linear.

Front

How can you determine if a relationship is linear using first differences?

Back

If the first differences are constant, the relationship is linear; if they vary, the relationship is non-linear.

Front

What does a slope of 7/5 represent in a real-world scenario?

Back

A slope of 7/5 indicates that for every 5 units increase in the independent variable, the dependent variable increases by 7 units.

Front

What is the significance of the coordinates (0, 3) in a graph?

Back

The coordinates (0, 3) indicate that the y-intercept of the graph is 3, meaning the value of y when x is 0 is 3.