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Romashka [77]
2 years ago
8

Find the equation of the line passing through the points (0,7) and (5,-3). ​

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
8 0

Answer:

y = - 2x + 7

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 ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = \frac{-3-7}{5-0} = \frac{-10}{5} = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

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