Chapter 5.3, Problem 15P

Write an equation of a line with the given slope $m$ and $y$-intercept $b$. $m=1,b=\frac{3}{8}$

To determine

To Find: The equation of line with given slope $m=1\&b=\frac{3}{8}$

Answer to Problem 15P

Equation of required line is $y=x+\frac{3}{8}$

Explanation of Solution

Given information:

  $m=1\&b=\frac{3}{8}$

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 $m=1\&b=\frac{3}{8}$

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

  $\begin{array}{l}y=mx+b\\ \text{where }m=1\&b=\frac{3}{8}\\ y=1x+\left(\frac{3}{8}\right)\\ y=x+\frac{3}{8}\end{array}$

Conclusion:

Equation of required line is $y=x+\frac{3}{8}$