Chapter 4.1, Problem 12PPS

To determine

To Find: The equation of the line in slope- intercept form passing through $\left(1,0\right)$ and slope $1$ .

Answer to Problem 12PPS

The equation of line in slope intercept form is $y=x-1$ .

Explanation of Solution

Given information:

Line passing through $\left(1,0\right)$ and slope $1$

Concept and Formula Used:

Equation of line passing through point and given slope $y-y_1=m\left(x-x_1\right)$ . Slope intercept form $y=mx+c$

Calculation:

It is given that line passing through $\left(1,0\right)$ and slope $1$

Equation of line through point and given slope is

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ \text{where }\left(x_1,y_1\right)=\left(1,0\right)\&m=1\\ y-\left(0\right)=1\left(x-1\right)\\ y=x-1\left(\text{Distributive property}\right)\end{array}$

Conclusion:

The equation of line in slope intercept form is $y=x-1$ .