Question

Find the equation of the line between the points given

Answer 1

Given:

The equation of line between the points (10,-1) and (9,7).

Required:

To find the line equation.

Step-by-step explanation:

The general form of equation of line is

`y-y1=m(x-x1)`

Here

`\begin{gathered} (x1,y1)=(10,-1) \\ (x2,y2)=(9,7) \end{gathered}`

So

`\begin{gathered} y-(-1)=m(x-10) \\ \\ y+1=m(x-10) \end{gathered}`

Where m is the slope.

`\begin{gathered} m=(y2-y1)/(x2-x1) \\ \\ =(7-(-1))/(9-10) \\ \\ =(7+1)/(-1) \\ \\ =-8 \end{gathered}`

So the line equation is

`\begin{gathered} y+1=-8(x-10) \\ \\ y=-8x+80-1 \\ \\ y=-8x+79 \end{gathered}`

Final Answer:

`y=-8x+79`