What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?

Question

anonymous · Answer

How? I need help!

anonymous · Answer

@IMStuck

imstuck · Answer

First thing to do is to find the slope of the line created by those 2 points.  Can you do that?  Do you know the formula?

anonymous · Answer

is it, y-y1=m(x-x1)

imstuck · Answer

That's the point-slope formula. We will get there, but not til after we find the slope.

anonymous · Answer

okay so how do we find the slope

imstuck · Answer

The slope formula is this one:$$m=\frac{ y _{2}-y _{1} }{ x _{2} -x _{1}}$$

anonymous · Answer

oh i think i might be able to get it one sec

imstuck · Answer

use the points they gave you like this:

imstuck · Answer

$$m=\frac{ -16-(-8) }{ -17-(-12) }$$

imstuck · Answer

Let me know what you get, ok?

anonymous · Answer

8/5 or -8/-5

imstuck · Answer

Right!  It's 8/5.  Now use one of the points and that slope you just found in the point-slope equation.

anonymous · Answer

okay like the first set of points

imstuck · Answer

Want me to show you?

anonymous · Answer

is it like this, y-(-8)=8/5(x-(-12)

imstuck · Answer

yes it is!  Now can you solve it?  By that I mean to find the equation and put it into slope-intercept form.

anonymous · Answer

but the -8 and -12 will be positive

imstuck · Answer

Yes they will be.  You're right...don't doubt yourself...you got this!  Go on...

imstuck · Answer

What form does the equation have to be in for the final answer?  Point-slope or slope-intercept?

anonymous · Answer

it will equal into the slope intercept form to, y=8/5x + 11.2

imstuck · Answer

That is so very right!  Good!  Very good!

anonymous · Answer

thanks know i know how to completely do them thanks

imstuck · Answer

You are so welcome!  TY for the medal!

anonymous · Answer

Np