# What is the slope of 32=-42y+5x?

Mar 9, 2016

Gradient (slope) is $\frac{5}{42}$

#### Explanation:

$\textcolor{b l u e}{\text{By sight: slope is } \frac{5}{42}}$

'~~~~~~~~~~~~~~~~~~~~~~~~~~
$\textcolor{b l u e}{\text{By algebraic manipulation}}$

Multiply both sides by (-1) giving to give us a positive $y$

$- 32 = 42 y - 5 x$

Add $5 x$ to both sides

$42 y = 5 x - 32$

Divide both sides by 42

$y = \frac{5}{42} x - 32$

The coefficient of $x \text{ is } \frac{5}{42}$

$\textcolor{b l u e}{\text{Gradient (slope) is } \frac{5}{42}}$