Question

7. Find the equation ofthe line:through: (5, -1) and (0, -4)

Answer 1

First, let's find the slope m

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

Now we use the slope-point form to find the equation. Let's use the slope we just calculated an point (5, -1)

`\begin{gathered} y-(-1)=(3)/(5)(x-5)\rightarrow y+1=(3)/(5)x-3 \\ y=(3)/(5)x-4 \end{gathered}`

Therefore, the equation of the line that goes through (5, -1) and (0, -4) is

`y=(3)/(5)x-4`