Respuesta :
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 1
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, 4) and (x₂, y₂ ) = (- 2, 2)
m = [tex]\frac{2-4}{-2+6}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex] , thus
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 2), then
2 = 1 + c ⇒ c = 2 - 1 = 1
y = - [tex]\frac{1}{2}[/tex] x + 1 ← equation of line
