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Sagot :

Answer:

y = - [tex]\frac{1}{3}[/tex] x - 5

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, - 3) and (x₂, y₂ ) = (6, - 7) ← 2 points on the line

m = [tex]\frac{-7-(-3)}{6-(-6)}[/tex] = [tex]\frac{-7+3}{6+6}[/tex] = [tex]\frac{-4}{12}[/tex] = - [tex]\frac{1}{3}[/tex]

The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5

y = - [tex]\frac{1}{3}[/tex] x - 5 ← equation of line

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