Chapter 4, Problem 6MCQ

To determine

To Find: The equation of the line in slope- intercept form passing through $\left(2,1\right)$ and slope $0$ .

Answer to Problem 6MCQ

The equation of line in slope intercept form is $y=0x+1$ .

Explanation of Solution

Given information:

Line passing through $\left(2,1\right)$ and slope $0$

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 $\left(2,1\right)$ and slope $0$

Equation of line through point and given slope is

  $\begin{array}{l}y-y_1=m\left(x-x_1\right)\\ \text{where }\left(x_1,y_1\right)=\left(2,1\right)\&m=0\\ y-\left(1\right)=0\left(x-2\right)\\ y-1=0\\ y=1\\ y=0x+1\end{array}$

Conclusion:

The equation of line in slope intercept form is $y=0x+1$ .