can some one help me whit slope
my points are (-2,2), and (2,-2).

Question

can some one help me whit slope
my points are (-2,2), and (2,-2).

anonymous · Answer

it wants me to arrange them y=mx+b

imstuck · Answer

THis is the slope formula:$$m=\frac{ y _{2}-y _{1} }{x _{2}-x _{1} }$$Filling in your points you will get this:$$m=\frac{ -2-2 }{ 2-(-2) }$$Can you do that math?

imstuck · Answer

AFter you find the slope you can write it in that form, which is slope-intercept form.

imstuck · Answer

Can you find the slope from what I gave you?

anonymous · Answer

attachment

imstuck · Answer

No, that's not right.  Here, like this:

imstuck · Answer

$$\frac{ -2-2 }{ 2-(-2) }=\frac{ -4 }{ 4 }=-1$$

anonymous · Answer

yeah my bad -1

imstuck · Answer

Ok, good.  Now you have to use that slope and one of the points in the point-slope formula to get the equation of the line.  Do you know the point-slope formula?

anonymous · Answer

y=mx+b

imstuck · Answer

No, that's slope-intercept.  You have to use the point-slope formula to get the equation, then rearrange it to put it into slope-intercept.  Do you know the point-slope formula?

anonymous · Answer

no thats all it shows me

imstuck · Answer

Ok, first thing to do is pick one of the points they gave you...either the (-2,2) or the (2,-2).  I'm going to pick the first one, since they both are just about the same with one having a positive and one having a negative.  This is the point-slope formula:$$y-y _{1}=m(x-x _{1})$$where y1 is your y coordinate from the point you chose, and x1 is the x coordinate from the point you chose.  I will fill it in and show you how to do it.

imstuck · Answer

I meant that both the points have a positive and a negative.  I worded that badly.  Sorry.

anonymous · Answer

no prob

imstuck · Answer

$$y-y _{1}=m(x-x _{1})$$$$y-2=-1(x-(-2))$$"m" is your slope of -1 that you found earlier.

imstuck · Answer

Going on, you get this:

anonymous · Answer

yes

imstuck · Answer

$$y-2=-1(x+2)$$$$y-2=-1x-2$$Now here is where you move stuff around to get it into slope-intercept, or y = mx + b, form.

anonymous · Answer

ok

imstuck · Answer

y-2+2=-1x-2+2
y=-1x  or
y = -x

imstuck · Answer

Because the 2's cancel each other out on both sides, there is no need to put it in, cuz if you did it would be as a 0, which you can do if you want.  If so, the equation would look like this:  y = -1x + 0

imstuck · Answer

When you are given 2 points and told to write it in slope-intercept form, first you have to find the slope, then you pick a point and use the point-slope formula, then you rearrange it to put it into slope-intercept form.  3 steps to it each time.