what is the point-slope

Question

what is the point-slope for (0,5) and (-1,-5)

Answer 1

I assume you are asking about the point-slope form of the equation. Let's first calculate the slope:

 

m=(y2-y1)/(x2-x1)=(-5-5)/(-1-0)=-10/-1=10     <-slope

 

The point slope formula is:

 

y-yp=m(x-xp) where P(xp, yp) is a point on our line.

 

Both (0,5) and (-1,-5) are on the line, so let's choose to work with P(0,5).

 

After plugging the values in, the equation of the line is:

y-5=10x    <-point-slope form

 

and of course you could bring this into slope-intercept form if you needed to.

 

y=10x+5   <-slope-intercept form