NC EOC Exam Review Calculator Active

Front

What is the equation of a line given two points?

Back

The equation of a line can be found using the slope-intercept form, y = mx + b, where m is the slope calculated from the two points, and b is the y-intercept.

Front

How do you calculate the slope of a line between two points?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) using the coordinates of the two points (x1, y1) and (x2, y2).

Front

What does standard deviation measure in a data set?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. A higher standard deviation indicates that the values are spread out over a wider range.

Front

What is the formula for calculating the cost of mailing a package based on weight?

Back

The cost can be represented as c = 4.95 + 1.25(w - 1), where c is the total cost and w is the weight in pounds.

Front

How do you represent the cost of an item when given a total cost and the cost of multiple items?

Back

If the total cost is d and the cost of each item is h, the cost of the remaining item can be represented as d - 2h.

Front

What does the y-intercept represent in a linear relationship?

Back

The y-intercept represents the value of y when x is 0, indicating the starting point of the relationship.

Front

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

Back

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

Front

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

Back

In a real-world context, the y-intercept indicates the initial value of the dependent variable when the independent variable is zero.

Front

What is the relationship between the standard deviation and the spread of data?

Back

A larger standard deviation indicates a wider spread of data points from the mean, while a smaller standard deviation indicates that the data points are closer to the mean.

Front

How do you find the equation of a line from two points?

Back

1. Calculate the slope using m = (y2 - y1) / (x2 - x1). 2. Use one point to solve for b in y = mx + b.