Question

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

Answer 1

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:  $m=\dfrac{y_2-y_1}{x_2-x_1}$

(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