# Question #0bbd5

Nov 2, 2016

The slope is $2$ and the $y$-intercept is $- 3$.

#### Explanation:

The slope-intercept form of the equation of a line is $y = m x + b$. A line with this equation has a slope of $m$ and a $y$-intercept of $b$.

(For why this is the case, consider that increasing $x$ by $1$ increases $y$ by $m$, making $\frac{m}{1} = m$ the slope, and setting $x = 0$ shows us that the $y$-intercept is at $\left(0 , b\right)$)

For the given equation, we use algebraic manipulation to put it into slope-intercept form.

$y - 2 x = - 3$

$\implies y - 2 x + 2 x = - 3 + 2 x$

$\therefore y = 2 x - 3$

As this is slope-intercept form with $m = 2$ and $b = - 3$, the slope is $2$ and the $y$-intercept is $- 3$.