# How do you write the equation of the line given the slope 2, y intercept (0,9)?

May 14, 2017

$y = 2 x + 9$

#### Explanation:

Eqn of a line is

$y = m x + c$

where
$m = \text{slope/gradient ";c="y intercept}$

slope $= 2$

$\implies y = 2 x + c$

to find$\text{ "c" }$ substitute the known coordinates in

$9 = 2 \times 0 + c$

$9 = 0 + c$

$\therefore c = 9$

so the eqn is

$y = 2 x + 9$

May 14, 2017

$y = 2 x + 9$

#### Explanation:

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

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{y = m x + b} \textcolor{w h i t e}{\frac{2}{2}} |}}}$
where m represents the slope and b, the y-intercept.

$\text{here " m=2" and } b = 9$

$\Rightarrow y = 2 x + 9 \leftarrow \textcolor{red}{\text{ in slope-intercept form}}$