Chapter 8.8, Problem 1AGP

To determine

To calculate:To write an equation in slope-intercept form −

Slope $=2$ , y-intercept $=\frac{1}{3}$

Answer to Problem 1AGP

The equation in slope-intercept form is $3y=6x+1$ .

Explanation of Solution

Given information:

Slope $=2$ , y-intercept $=\frac{1}{3}$

Formula Used:

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

Calculation:

Given −

Slope $=2$ , y-intercept $=\frac{1}{3}$

Using the above explanation, we have equation of the line as −

  $y=mx+b$

Substituting the value of slope and y-intercept in the above equation, we have:

  $y=2x+\frac{1}{3}$

Solving the above equation, we have :

  $3y=6x+1$

Thus, the equation of the line is $3y=6x+1$ .