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viktelen [127]
2 years ago
9

PLEASE HELP ILL MARK YOU BRAINILY!!!!!

Mathematics
1 answer:
Elena-2011 [213]2 years ago
6 0

Answer:

y = - \frac{1}{3} 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 = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (6, - 7) ← 2 points on the line

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

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

y = - \frac{1}{3} x - 5 ← equation of line

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