Chapter 4.1, Problem 12PPS

To determine

To find: The equation of the line.

Answer to Problem 12PPS

The equation of the line is $x-y=1$ .

Explanation of Solution

Given:

The point and slope $\left(m\right)$ are $\left(1,0\right)$ and $1$ respectively

Formula used:

Following point-slope formula is used to compute the equation of a line:

  $y-y_1=m\left(x-x_1\right)$

Calculation:

Here,

  $x_1=1,y_1=0,m=1$

Now, the equation of line using the provided information can be calculated as:

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ y-0=1\left(x-1\right)\\ y=x-1\\ x-y=1\end{array}$

Hence, the required equation of the line is $x-y=1$