What is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?
2 answers
Point slope form is just y - y₁ = m (x - x₁)
so now the task facing you is to find the slope. That is, of course
m = (y2-y1)/(x2-x1) = 3/-3 = -1
So now you can use point 1 to get
y-5 = -1(x-2)
or you can use point 2, since the equation holds for ANY point on the line.
y-8 = -1(x+1)
It is easy to see that these are both the same line
m = (y2-y1)/(x2-x1) = 3/-3 = -1
So now you can use point 1 to get
y-5 = -1(x-2)
or you can use point 2, since the equation holds for ANY point on the line.
y-8 = -1(x+1)
It is easy to see that these are both the same line