Question

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

Answer 1

point slope form equation is as follows
y - y1 = m(x - x1)
m is the slope and x1 and y1 are the coordinates of a point on the line.
the slope of any given two points is (y2 - y1)/(x2 - x1)
so the slope in this case is (8 - 5)/(-1 - 2) = 3/-3 = -1

Answer 2

First find the slope of the two given points:
(2,5) = (x1,y1)
(-1,8) = (x2.y2)

Use the equation:
y2-y1
---- To find the slope
x2-x1

Then plug the slope as "m" into the following formula and using any pair of coordinate points, plug it into the formula as (x1,y1)

(y-y1) = m (x-x1)

Solve as a linear function and you shall end with a point-slope equation.