# What is this equation in slope-int form?

## What is $- x + 0.5 y = - 4.5$ in slope-int form?

Apr 25, 2018

$y = 2 x - 9$

#### Explanation:

Slope-int form requires the equation to be states as $y = m x + b$

Given −x + 0.5y = −4.5, we need to isolate the y.

Start by adding x to both sides.
$0.5 y = x - 4.5$

Then multiply both sides by 2, and simplify
$y = 2 \left(x - 4.5\right)$
$y = 2 x - 9$

Apr 25, 2018

see a solution process below;

#### Explanation:

Recall the equation of a straight line;

$y = m x + c$

Where;

$m = \text{slope}$

$- x + 0.5 y = - 4.5$

Rearranging the equation..

$0.5 y = x - 4.5$

Dividing through by $0.5$

$\frac{0.5 y}{0.5} = \frac{x}{0.5} - \frac{4.5}{0.5}$

$y = \frac{x}{0.5} - 9$

Note: $0.5 = \frac{5}{10} = \frac{1}{2}$

$y = x \div \frac{1}{2} - 9$

$y = x \times \frac{2}{1} - 9$

$y = 2 x - 9$

Comparing both equations..

$m = 2$

Therefore the slope of the equation is $2$

But the equation of the slope is $y = 2 x - 9$