Answer:
y - 1 = - [tex]\frac{1}{5}[/tex](x - 2)
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
calculate m using the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, 1)
m = [tex]\frac{1-2}{2+3}[/tex] = - [tex]\frac{1}{5}[/tex]
use either of the 2 points as the point on the line
using (a, b) = (2, 1), then
y - 1 = - [tex]\frac{1}{5}[/tex](x - 2) ← in point-slope form
