Answer:
y = - [tex]\frac{1}{2}[/tex] x
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, 1) and (x₂, y₂ ) = (- 8, 4)
m = [tex]\frac{4-1}{-8-(-2)}[/tex] = [tex]\frac{3}{-8+2}[/tex] = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex] , then
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 (- 8, 4 ) , then
4 = 4 + c ⇒ c = 4 - 4 = 0
y = - [tex]\frac{1}{2}[/tex] x ← equation of line
