Families of Lines
Key Questions

A family of lines is a set of lines that have something in common with each other.
In brief, we can have two types of families of lines:

one where the slope is the same
#># keep the slope unchanged and vary the#y# intercept#># parallel lines

one where the
#y# intercept is the same#># keep the#y# intercept unchanged and vary the slope#># concurrent lines


All lines following a specific criteria are called a family of lines.
For eg.
If the criteria is passing through a point (0,0)
Then all possible lines passing through that point are called the family of lines.If the criteria is have a slope of 1,
Then all possible lines have slope = 1 are its family of lines.
The idea is similar to human families where all our relatives belong to the same family (the criteria) and therefore everyone is a family member.
I hope this helps.
Questions
Forms of Linear Equations

Write an Equation Given the Slope and a Point

Write an Equation Given Two Points

Write a Function in SlopeIntercept Form

Linear Equations in PointSlope Form

Forms of Linear Equations

Applications Using Linear Models

Equations of Parallel Lines

Equations of Perpendicular Lines

Families of Lines

Fitting Lines to Data

Linear Interpolation and Extrapolation

Problem Solving with Linear Models

Dimensional Analysis