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vaieri [72.5K]
3 years ago
10

Find the equation of the line that passes through point (7,5) and (-9,5)

Mathematics
1 answer:
Papessa [141]3 years ago
4 0

Answer:

y = 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (7, 5) and (x₂, y₂ ) = (- 9, 5)

m = \frac{5-5}{-9-7} = \frac{0}{-16} = 0

This means the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (7, 5) and (- 9, 5) with y- coordinates 5, thus

y = 5 ← equation of line

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