Chapter 1: Linear Functions

correlation coefficient

The ________, denoted as r, is a number from- 1 to 1 that measures how well a line fits a set of data pairs.

horizontal translation

The graph of y= f (x- h) is a(n) ________ of the graph of y= f (x), where h ≠ 0.

shape

A transformation changes the size, ________, position, and orientation of a graph.

positive slope

When r is near 1, the points lie close to a line with a(n) ________.

line of reflection

A reflection flips a graph over a(n) ________.

negative slope

When r is near- 1, the points lie close to a line with a(n) ________.

linear equation

A(n) ________ in three variables x, y, and z is an equation of the form ax + by + cz= d, where a, b, and c are not all zero.

graph of y

The ________=- f (x) is a reflection in the x- axis of the ________= f (x)

{y}

represents a constant

Step 1

Create a scatter plot of the data

Step 2

Sketch the line that most closely appears to follow the trend given by the data points; there should be about as many points above the line as below it

Step 3

Choose 2 points on the line and estimate the coordinates of each point; these points do not have to be original data points

Step 4

Write an equation of the line that passes through the two points from Step 3; this equation is a model for the data

Step 1

Rewrite the linear system in three variables as a linear system in two variables using the substitution or elimination method

Step 2

Solve the new linear system for both of its variables

Step 3

Substitute the values found in Step 3 into one of the original equations and solve for the remaining variable