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soldi70 [24.7K]
3 years ago
5

Y=mx+b (-6,-3) and (0,9)

Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0

Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m = \frac{9+3}{0+6} = \frac{12}{6} = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

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