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  • 24-02-2019
  • Mathematics
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Write an equation that represents the line use exact numbers

Write an equation that represents the line use exact numbers class=

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jimrgrant1 jimrgrant1
  • 24-02-2019

Answer:

see explanation

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 )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (5, 1)

m = [tex]\frac{1+5}{5-0}[/tex] = [tex]\frac{6}{5}[/tex]

note the line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = [tex]\frac{6}{5}[/tex] x - 5 ← equation of line

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