# How do you find slope and y-intercept of y + 5 = 6x?

May 8, 2016

${y}_{\text{intercept}} = 5$

$\text{gradient is } 6 \implies$ for every 1 along the graph goes up 6

#### Explanation:

This is a variant on the standard equation for straight line graph which is: $y = m x + c$

So $y + 5 = 6 x \text{ becomes } y + c = m x$

Where $m$ is the gradient $\implies m x \to 6 x \implies \text{ gradient is } 6$

and where ${y}_{\text{intercept}} \to c = 5$

May 8, 2016

Equations of straight lines changed into the form $y = m x + c$ will give you the slope $m$ and the y-intercept $c$ immediately.
$m = 6$ and $c = - 5$

#### Explanation:

Write the equation with just $y$ on one side.
$y = 6 x - 5$

That's it!
Now you have the slope $\left(- 6\right)$ and the y-intercept $\left(5\right)$

Take note that in the term $6 x$, only the number represents the slope. Do not make the mistake of using $6 x$ as the slope.

The slope of a line is a number - often a fraction.

$m = \text{change in the y-values"/"change in the x-values}$

In Geography this is given as

$\text{gradient"= "vertical displacement"/"horizontal displacement}$
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