eshal112004 eshal112004
  • 25-05-2022
  • Mathematics
contestada

Write the equation of the line in fully simplified slope intercept form

Please help me :(

Write the equation of the line in fully simplified slope intercept form Please help me class=

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jimrgrant1 jimrgrant1
  • 25-05-2022

Answer:

y = - [tex]\frac{5}{6}[/tex] x + 6

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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 1) ← 2 points on the line

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

the line crosses the y- axis at (0, 6 ) ⇒ c = 6

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

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