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Mice21 [21]
2 years ago
8

ASAP MATH HELP WITH THIS QUESTIONS

Mathematics
1 answer:
liq [111]2 years ago
4 0

Answer:

y = - x + 3

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 ) = (- 2, 5) and (x₂, y₂ ) = (4, - 1)

m = \frac{-1-5}{4+2} = \frac{-6}{6} = - 1, thus

y = - x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, - 1 ), then

- 1 = - 4 + c ⇒ c = - 1 + 4 = 3

y = - x + 3 ← equation of line

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