Chapter 5.3, Problem 10P

Write an equation of a line with the given slope $m$ and $y$-intercept $b$. $m=-1,b=3$

To determine

To Find: The equation of line with given slope $m=-1$ and $y-$ intercept $b=3$

Answer to Problem 10P

Equation of required line is $y=-x+3$

Explanation of Solution

Given information:

Slope $m=-1$ and $y-$ intercept $b=3$

Concept and Formula Used:

Slope intercept form of line is $y=mx+b$ where $m$ is the slope and $b$ is the $y-$ intercept of a line.

Calculation:

It is given that slope of line is $m=-1\&b=3$

To find the equation of the line using slope intercept form of a line given by

  $\begin{array}{l}y=mx+b\\ \text{where }m=-1\&b=3\\ y=-1x+3\\ y=-x+3\end{array}$

Conclusion:

Equation of required line is $y=-x+3$