Question

the slope of a linear equation represents the rate of

a scatter plot created from a linear equation can be used to
make

the point where a line crosses the y - axis in a graph is called the

the process of analyzing a scatter plot involves looking for
direction, form, and
of the association.

Explanation:

1. Slope: The slope of a linear equation \(y = mx + b\) (where \(m\) is the slope) represents how one variable changes with respect to another. For example, if \(y\) is distance and \(x\) is time, \(m=\frac{\Delta y}{\Delta x}\) (change in \(y\) over change in \(x\)), which is a rate of change.
2. Scatter - plot prediction: A scatter - plot based on a linear relationship (like \(y=mx + b\)) can be used to predict values. If we know the equation of the line of best fit (from the scatter - plot), we can substitute an \(x\) - value (or \(y\) - value) to find the corresponding \(y\) (or \(x\)) value.
3. Y - intercept: In the equation \(y=mx + b\), when \(x = 0\), \(y=b\). The point \((0,b)\) is where the line crosses the \(y\) - axis, and \(b\) is called the \(y\) - intercept.
4. Strength of association: When analyzing a scatter - plot, direction (positive or negative, i.e., as \(x\) increases, does \(y\) increase or decrease), form (linear or non - linear), and strength (how closely the points follow a pattern, often measured by \(r\) - value in correlation) are considered.

Answer:

1. rate of change
2. predictions
3. \(y\) - intercept
4. strength