Answer:
y + 1 = [tex]\frac{3}{4}[/tex](x - 1)
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 ) = (1, - 1) and (x₂, y₂ ) = (5, 2)
m = [tex]\frac{2+1}{5-1}[/tex] = [tex]\frac{3}{4}[/tex]
using (a, b) = (1, - 1 ), then
y - (- 1) = [tex]\frac{3}{4}[/tex](x - 1) , that is
y + 1 = [tex]\frac{3}{4}[/tex](x - 1)
