Equations from two points

Front

What is the average (mean) of the following points: 17, 24, 19, 17, 14?

Back

The average is 18.2.

Front

Which set of data probably has points closest to the mean if Set 1 has Standard Deviation=3.1, Set 2 has Standard Deviation=4.9, Set 3 has Standard Deviation=1.7, and Set 4 has Standard Deviation=3.2?

Back

Set 3 has the points closest to the mean.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

Write the equation of the line in slope-intercept form through the points (-5, 1) and (-1, 5).

Back

The equation is y = x + 6.

Front

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is 2.

Front

Define Standard Deviation in the context of a data set.

Back

Standard Deviation measures the amount of variation or dispersion in a set of values.

Front

What does a higher Standard Deviation indicate about a data set?

Back

A higher Standard Deviation indicates that the data points are spread out over a wider range of values.

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

A negative slope indicates that the line is decreasing from left to right.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

How do you convert the slope-intercept form of a line to standard form?

Back

Rearrange the equation to the form Ax + By = C.