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Westkost [7]
2 years ago
10

What's the equation of a line that passes through points (–1, –5) and (1, 3)?

Mathematics
2 answers:
emmasim [6.3K]2 years ago
5 0

Answer:

y = 4x - 1

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 ) = (- 1, - 5) and (x₂, y₂ ) = (1, 3)

m = \frac{3+5}{1+1} = \frac{8}{2} = 4 , then

y = 4x + c ← is the partial equation

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

Using (1, 3 ) , then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 ← equation of line

Dmitry_Shevchenko [17]2 years ago
4 0

Answer:

y=4x-1

Step-by-step explanation:

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