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Sati [7]
3 years ago
12

Consider the graph shown.

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer:

y = \frac{2}{3} x + 2

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, 2) and (x₂, y₂ ) = (3, 4)

m = \frac{4-2}{3-0} = \frac{2}{3}

The line crosses the y- axis at (0, 2) ⇒ c = 2

y = \frac{2}{3} x + 2 ← equation of line

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