Respuesta :
Answer:
Y=-1/2x ?
Step-by-step explanation:
There might be an y intercept. First find the slope. (Change in y over change in x) -2-1 over -1-5 then you get -3/-6. You can simplify an get -1/2. That forms an equation of y=-1/2x. That might be part of the answer. You still might need to find the y intercept, and I dont know how really. Hope this helps.
Answer:
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex]
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 )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, - 2) and (x₂, y₂ ) = (5, 1)
m = [tex]\frac{1+2}{5+1}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex], hence
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 (- 1, - 2 ), then
- 2 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 2 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ← is the equation of the line
