Question

What is the equation in point-slope form of the line passing through (2, 5) and (–1, 8)?

Answer 1

First, find the slope: = m=y2-y1/x2-x1
=8-5/2+1
3/3
=1


Use either point: (2,5)
Remember the form: y - y1 = m ( x - x1)
Substitute: y - 5 = 1 ( x - 2)
y - 5 = (x -2) Ans.

Answer 2

Gradient, m=
`(change in y)/(change in x)`
m=
`(8-5)/(-1-2)`
m=
`(3)/(-3)`
m=-1
y=-x+c
Replacing for x and y using point (2, 5)
5=-(2)+c
5+2=c
c=7
y=-x+7