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.

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.

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

So the line equation is

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

Final Answer:

$y=-8x+79$