Question

1. List the characterizing property for each family of lines. (a) 5x + y = C .(b) (d) (c) Ax - 7y=21 (e) y = mx + 5 (g) ArtBy=0 (1) y= x tan 50° +6 (h)

Answer 1

There are three forms of linear equations:

1. Point-slope form:

`y-y_0=m(x-x_0)`

2. Standard form:

`Ax+By=c`

3. Slope-intercept form:

`y=mx+b`

Then, knowing all the possible forms, let's start characterizing:

`\begin{gathered} g)\text{ Ax+By=0} \\ \text{This would be a standard form of linear equation.} \end{gathered}`
`\begin{gathered} i)\text{ y=tan(50)x+b} \\ \text{This would be a slope-intercept form of linear equation.} \end{gathered}`