HW10 - WRAP UP UNIT 4

Front

What is a vertical translation in graph transformations?

Back

A vertical translation moves a graph up or down without changing its shape. For example, if the graph of f(x) is translated 2 units up, the new graph g(x) can be expressed as g(x) = f(x) + 2.

Front

How do you find the slope of a line perpendicular to a given line?

Back

To find the slope of a line perpendicular to a given line, take the negative reciprocal of the slope of the original line. For example, if the line has a slope of m, the perpendicular slope will be -1/m.

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.

Front

What does a positive correlation indicate in a scatter plot?

Back

A positive correlation indicates that as one variable increases, the other variable also increases. This is represented by an upward trend in the scatter plot.

Front

What is the difference between parallel and perpendicular lines?

Back

Parallel lines have the same slope and never intersect, while perpendicular lines have slopes that are negative reciprocals of each other and intersect at right angles.

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 original line and substitute the coordinates of the point through which the new line passes into the slope-intercept form.

Front

What is a trend line in a scatter plot?

Back

A trend line is a straight line that best represents the data points in a scatter plot, showing the general direction of the data.

Front

How can you predict values using a trend line?

Back

You can predict values by extending the trend line and finding the corresponding y-value for a given x-value based on the line's equation.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is zero.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees). Their slopes are negative reciprocals of each other.