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givi [52]
3 years ago
8

The line L passes through the points (0,7) and (3,19). Work out the equation of the line L.

Mathematics
1 answer:
irinina [24]3 years ago
3 0

Answer:

A

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, 7 ) and (x₂, y₂ ) = (3, 19 )

m = \frac{19-7}{3-0} = \frac{12}{3} = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

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