Mathematics: Write the equation of the line in fully simplifoed slope intercept form

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Write the equation of the line in fully simplifoed

limelight11

25.04.2021

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: $m=\dfrac{y_2-y_1}{x_2-x_1}$

(0, 8) ⇒ x₁ = 0, y₁ = 8

(3, 3) ⇒ x₂ = 3, y₂ = 3

$\bold{m=\dfrac{3-8}{3-0}=\dfrac{-5}3=-\dfrac53}$

b = 8

Therefore the equation: y = -⁵/₃x + 8

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