The generic equation of the line is:
y-yo = m (x-xo)
Where, the slope is:
m = (y2-y1) / (x2-x1)
m = (1-4) / (2 - (- 1))
m = (1-4) / (2 - (- 1))
m = (- 3) / (3)
m = -1
We choose an ordered pair:
(xo, yo) = (- 1, 4)
Substituting values:
y-4 = -1 (x + 1)
Rewriting:
y = - x - 1 +4
y = -x + 3
Answer:
The equation of the line, in slope-intercept form, that contains the points (-1, 4) And (2,1) is:
y = -x + 3