Chapter 4, Problem 14MCQ

To determine

To Find: The equation of the line in standard form.

Answer to Problem 14MCQ

The equation of line in standard form is $2x+y=11$ .

Explanation of Solution

Given information:

Equation of line is $y-5=-2\left(x-3\right)$

Concept and Formula Used:

Standard equation of line is $\text{A}x+\text{B}y=\text{C}$ .

Calculation:

The given equation is $y-5=-2\left(x-3\right)$

Using distributive property

  $\begin{array}{l}y-5=-2x+6\\ \text{Add }2x\text{ to both sides}\\ y-5+2x=-2x+6+2x\\ 2x+y-5=6\\ \text{Add 5 to both sides}\\ 2x+y-5+5=6+5\\ 2x+y=11\end{array}$

Conclusion:

The equation of line in standard form is $2x+y=11$ .