# What is the y-intercept of y=-2(8-x)-9?

Mar 27, 2018

$\textcolor{b l u e}{- 25}$

#### Explanation:

The $y$ intercept occurs where $x = 0$

$\therefore$

$y = - 2 \left(8 - \left(0\right)\right) - 9$

$y = - 16 - 9$

$\textcolor{b l u e}{y = - 25}$

Mar 27, 2018

$- 25$

#### Explanation:

Expand the bracket

$- 2 \left(8 - x\right)$

so

$y = - 2 \left(8 - x\right) - 9$

becomes

$y = - 16 + 2 x - 9$

Now,

$- 16 - 9 = - 25$

so

$y = - 16 + 2 x - 9$

becomes

$y = 2 x - 25$

The slope-intercept equation of a straight line is

$y = m x + c$

where $m$ is the gradient of the line and $c$ is the $y$-intercept. So your answer is $- 25$.