Question

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

Answer 1

y = -⁵/₃x + 8

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=(y_2-y_1)/(x_2-x_1)`

(0, 8) ⇒ x₁ = 0, y₁ = 8

(3, 3) ⇒ x₂ = 3, y₂ = 3

`\bold{m=(3-8)/(3-0)=\frac{-5}3=-\frac53}`

b = 8

Therefore the equation: y = -⁵/₃x + 8