Question

Write in point-slope form an equation of the linethrough each pair of points. 17. (1.0) and (5, 5)19. (0, -1) and (3, -5)21. (1. 9) and (6, 2)

Answer 1

we have the following:

`m=(y_2-y_1)/(x_2-x_1)`

replacing:

17. (1, 0) and (5, 5)

`m=(5-0)/(5-1)=(5)/(4)`

therefore,

`\begin{gathered} y=mx+b \\ y=(5)/(4)\cdot x-(5)/(4) \end{gathered}`

19. (0, -1) and (3, -5)

`m=(-5-(-1))/(3-0)=(-4)/(3)=-(4)/(3)`

therefore,

`\begin{gathered} y=mx+b \\ y=-(4)/(3)\cdot x-1 \end{gathered}`

21. (1, 9) and (6, 2)

`m=(2-9)/(6-1)=(-7)/(5)=-(7)/(5)`

therefore,

`\begin{gathered} y=mx+b \\ y=-(7)/(5)\cdot x+10.4 \end{gathered}`