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DaniilM [7]
3 years ago
10

Equation of a straight line (see attached)

Mathematics
2 answers:
Viefleur [7K]3 years ago
8 0

Answer:

y = 2x - 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 ) = A(4, 7) and (x₂, y₂ ) = B(2,3)

m = \frac{3-7}{2-4} = \frac{-4}{-2} = 2 , thus

y = 2x + c ← is the partial equation

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

Using (2, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 2x - 1 ← equation of line

KatRina [158]3 years ago
7 0
Hi
I think this may help Y=2x-1
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