# How do you write an equation of a line given m=3-3/4 and b=7/3?

Jul 5, 2017

See a solution process below:

#### Explanation:

First, we need to find the slope of the line by simplifying the term for $m$:

$m = 3 - \frac{3}{4}$

$m = \left(\frac{4}{4} \times 3\right) - \frac{3}{4}$

$m = \frac{12}{4} - \frac{3}{4}$

$m = \frac{9}{4}$

Now we know $m$ and were given $b$ we can use the slope-intercept formula to write the equation for the line. The slope-intercept form of a linear equation is: $y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and $\textcolor{b l u e}{b}$ is the y-intercept value.

Substituting for $m$ and $b$ gives:

$y = \textcolor{red}{\frac{9}{4}} x + \textcolor{b l u e}{\frac{7}{3}}$