Respuesta :
Answer:
y = [tex]\frac{1}{2}[/tex] x - 7
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 ) = (- 2, - 8) and (x₂, y₂ ) = (2, - 6)
m = [tex]\frac{-6+8}{2+2}[/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, - 6), then
- 6 = 1 + c ⇒ c = - 6 - 1 = - 7
y = [tex]\frac{1}{2}[/tex] x - 7 ← equation of line
