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

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Answer 1 · 2016-05-08T08:51:51

$y_("intercept") =5$

$"gradient is "6 =>$ for every 1 along the graph goes up 6

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

So $y+5=6x" becomes "y+c=mx$

Where $m$ is the gradient $=> mx->6x =>" gradient is "6$

and where $y_("intercept")-> c =5$

Answer 2 · 2016-05-08T08:58:40

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

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

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

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

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

$m= "change in the y-values"/"change in the x-values"$

In Geography this is given as

$"gradient"= "vertical displacement"/"horizontal displacement"$