Slope please help algreab 1

Answer:
1/2x-2
Step-by-step explanation:
sise over run and then graph on desmos
Answer:
y = [tex]\frac{1}{2}[/tex] x - 2
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, 1 ) and (x₂, y₂ ) = (- 6, - 5 )
m = [tex]\frac{-5-1}{-6-6}[/tex] = [tex]\frac{-6}{-12}[/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 (6, 1 )
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line