# How do you write the equation given slope 2 and passes through (-2,-5)?

Mar 12, 2018

The answer is in point slope form.

$2 x - y - 1 = 0$

#### Explanation:

$\left(y - {y}_{1}\right) = m \left(x - {x}_{1}\right)$

$\left(y - \left(- 5\right)\right) = 2 \left(x - \left(- 2\right)\right)$

$y = 2 x - \left(- 4\right) + \left(- 5\right)$

$y = 2 x - 1$

$2 x - y - 1 = 0$

Apr 7, 2018

$y = 2 x - 1$

#### Explanation:

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

•color(white)(x)y=mx+b

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

$\text{here } m = 2$

$\Rightarrow y = 2 x + b \leftarrow \textcolor{b l u e}{\text{is the partial equation}}$

$\text{to find b substitute } \left(- 2 , - 5\right)$
$\text{into the partial equation}$

$- 5 = - 4 + b \Rightarrow b = - 5 + 4 = - 1$

$\Rightarrow y = 2 x - 1 \leftarrow \textcolor{red}{\text{in slope-intercept form}}$