Answer:
y = - 2x + 4
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 ( = (1, 2) and (x₂, y₂ ) = (3, - 2)
m = [tex]\frac{-2-2}{3-1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 2 ) , then
2 = - 2 + c ⇒ c = 2 + 2 = 4
y = - 2x + 4 ← equation of line
