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Murrr4er [49]
3 years ago
10

Find the equation of the line shown

Mathematics
1 answer:
4vir4ik [10]3 years ago
7 0

Answer:

y = 2x + 5

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 ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)

m = \frac{7+1}{1+3} = \frac{8}{4} = 2 , then

y = 2x + c ← is the partial equation

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

Using (1, 7 ) , then

7 = 2 + c ⇒ c = 7 - 2 = 5

y = 2x + 5 ← equation of line

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