I am suppose to find the slope, y-intercept, and graph it, x+4=5

Question

anonymous · Answer

would I make it 4=-x+5?

terenzreignz · Answer

Are you sure that there's no y?

anonymous · Answer

positive

terenzreignz · Answer

Well then, here's a nice shortcut.  If there's no y, then the slope is AUTOMATICALLY infinite or it does not exist.

Because it'd be a vertical line. And you know that the slope of a vertical line is undefined.

anonymous · Answer

Are you sure from the equation ?
$$x+4=5 ??$$

anonymous · Answer

yes @Noura11

anonymous · Answer

@terenzreignz then what's the y-intercept?

anonymous · Answer

and how do I graph it?

terenzreignz · Answer

Well, @Noura11 maybe you were intending to give a more detailed explanation? :)
By all means...

anonymous · Answer

First , when we have an equation of the line like this :
$$x=a$$
then , there is no slope, or we can say that the slope is infinitive.
This line will be a vertical line !
To draw a vertical line we put the point (a,0) and trace a vertical line passing by that point !

anonymous · Answer

what about the y-intercept

anonymous · Answer

it's 0?

anonymous · Answer

and where along x do I draw a vertical line?

anonymous · Answer

No ! 
If the equation is :
$$x=a$$
and :
$$a\ne0$$
the there is no y-intercept.
But if the equation is :
$$x=0$$
then 0 is the y-intercept

anonymous · Answer

so I put no y-intercept,slope=undefined, but where along x do I put the vertical line

terenzreignz · Answer

Simple... solve the equation for x, and that's where you put the vertical line.

anonymous · Answer

@terenzreignz is that right?

terenzreignz · Answer

So far, yes. You just have to figure out where to put your line, and that's where solving for x comes in.

anonymous · Answer

x=1

terenzreignz · Answer

Correct :)

anonymous · Answer

ty

anonymous · Answer

@terenzreignz  what if the equation was y=-2?

anonymous · Answer

y=mx+b, so would m and x be 0 while b=-2?

terenzreignz · Answer

Yeah, actually, yes.
You've answered your own question LOL

Remember how I said that if there's no mention of y, then the slope is undefined?
On the flipside, if there's no mention of x, then the slope is automatically zero. :)

anonymous · Answer

so slope=0 and y-intercept=-2

anonymous · Answer

how do I graph a slope of 0? @terenzreignz

terenzreignz · Answer

Undefined slope = vertical
Zero slope = horizontal

Graph the horizontal line passing through b (your y-intercept)

anonymous · Answer

oh got it thanks!