leannampettry leannampettry
  • 09-10-2018
  • Mathematics
contestada

How do you write an equation in slope- intercept form of the line passing through the given points ? (0,7), (1,9)

Respuesta :

jimrgrant1 jimrgrant1
  • 09-10-2018

y = 2x + 7

the equation of a line in ' slope-intercept form ' is

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

to calculate m use the ' gradient formula '

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (1, 9)

m = [tex]\frac{9-7}{1-0}[/tex] = 2

given the point (0, 7 ) then c = 7

y = 2x + 7  ← in slope-intercept form


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