Answer:
y - 1 = [tex]\frac{2}{3}[/tex](x - 3)
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = [tex]\frac{1+1}{3-0}[/tex] = [tex]\frac{2}{3}[/tex]
and using (a, b) = (3, 1 ) , then
y - 1 = [tex]\frac{2}{3}[/tex] (x - 3)
