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erastova [34]
4 years ago
8

All three points displayed are on the line. Find an equation relating x and y.

Mathematics
1 answer:
Colt1911 [192]4 years ago
8 0

Answer:

y = 2x - 3

Step-by-step explanation:

The graph is a straight line, thus linear with equation

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 ) = (3, 3) and (x₂, y₂ ) = (6, 9) ← 2 points on the line

m = \frac{9-3}{6-3} = \frac{6}{3} = 2 , thus

y = 2x + c ← is the partial equation

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

Using (3, 3 ), then

3 = 6 + c ⇒ c = 3 - 6 = - 3

y = 2x - 3 ← equation relating x and y

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