creedence creedence
  • 26-03-2021
  • Mathematics
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Write the equation of the line in fully simplifoed slope intercept form

Write the equation of the line in fully simplifoed slope intercept form class=

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unicorn3125
unicorn3125 unicorn3125
  • 31-03-2021

Answer:

         y = -⁵/₃x + 8

Step-by-step explanation:

The equation of the line in slope-intercept form:  y = mx + b, where m is a slope and b is y-intercept

Slope of  line that passes through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(0, 8)    ⇒    x₁ = 0,  y₁ = 8

(3, 3)      ⇒    x₂ = 3,  y₂ = 3

[tex]\bold{m=\dfrac{3-8}{3-0}=\dfrac{-5}3=-\dfrac53}[/tex]

b = 8

Therefore the equation:   y = -⁵/₃x + 8

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