Lessons 5-1 to 5-3 Review

Front

What is the equation of a line given two points (x1, y1) and (x2, y2)?

Back

The equation of a line can be found using the slope-intercept form: y = mx + b, where m is the slope calculated as m = (y2 - y1) / (x2 - x1) and b is the y-intercept.

Front

How do you determine the slope of a line from two points?

Back

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

Front

What does a strong positive correlation in a graph indicate?

Back

A strong positive correlation indicates that as one variable increases, the other variable also increases significantly.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope is represented by the coefficient m in the equation.

Front

How do you write the equation of a line parallel to a given line?

Back

To write the equation of a line parallel to a given line, use the same slope as the given line and substitute the point into the point-slope form.

Front

What is the point-slope form of a line?

Back

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

Front

What is the y-intercept of a line?

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

What does it mean if there is no association in a graph?

Back

No association means that there is no discernible relationship between the two variables being graphed.

Front

How can you identify a weak negative correlation in a graph?

Back

A weak negative correlation is indicated by a downward trend that is not very steep, suggesting a slight decrease in one variable as the other increases.