Answer:
y = x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 3) and (x₂, y₂ ) = (4, 1)
m = [tex]\frac{1-3}{4-6}[/tex] = [tex]\frac{-2}{-2}[/tex] = 1 , then
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 1 )
1 = 4 + c ⇒ c = 1 - 4 = - 3
y = x - 3 ← equation of line
