Question

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

Answer 1

`y_("intercept") =5`

`"gradient is "6 =>` 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=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

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`

Explanation:

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"`