Answer:
y + 1 = - [tex]\frac{2}{3}[/tex](x - 4)
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 slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(4, - 1) and (x₂, y₂ ) = B(-2, 3)
m = [tex]\frac{3+1}{-2-4}[/tex] = [tex]\frac{4}{-6}[/tex] = - [tex]\frac{2}{3}[/tex]
Use either of the 2 points for (a, b)
Using (4, - 1), then
y - (- 1) = - [tex]\frac{2}{3}[/tex](x - 4), that is
y + 1 = - [tex]\frac{2}{3}[/tex](x - 4)
