Find an equation of a line containing the points (-6,1) and (2,-5). 

y = - x  -

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 ) = (- 6, 1 ) and (x₂, y₂ ) = (2, - 5 )

m = = = -

the partial equation is

y = - x + c

to find c substitute either of the 2 given points into the partial equation

using (- 6, 1 ), then

1 = + c ⇒ c = 1 - = -

y = - x - ← equation of line

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step-by-step explanation:

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