# How do you find the slope and intercept of 2x+9 = 3/2?

May 10, 2018

$\text{slope is undefined}$

#### Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$2 x + 9 = \frac{3}{2} \leftarrow \textcolor{b l u e}{\text{is not in this form}}$

$\text{subtract 9 from both sides and divide by 2}$

$2 x = \frac{3}{2} - 9 = \frac{3}{2} - \frac{18}{2} = - \frac{15}{2}$

$\Rightarrow x = - \frac{15}{4}$

$\text{the line with equation } \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{x = c} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{is a special case in that it is a vertical line parallel to}$
$\text{the y-axis and passing through all points with an}$
$\text{x-coordinate equal to c}$

$\Rightarrow \text{slope is undefined}$

$\text{and x-intercept } = - \frac{15}{4}$
graph{y-1000x-3750=0 [-10, 10, -5, 5]}