Respuesta :

The equation of line is y = (-2/3)x + 5

Given the points:

(x₁, y₁) = (0, 5)

(x₂, y₂) = ( 3, 3)

The slope-intercept form:

y = mx + b

Where, m is the slope and b is the y-intercept, that is (0, b)

The formula for slope:

m = (y₂ – y₁) / (x₂ – x₁)

We have given

x₁ = 0

x₂ = 3

y₁ = 5

y₂ =3

So,

m = (3 – 5) / (3 – 0) = -2/3

here, we have b = 5

Therefore we have the equation of the line as:

y = mx + b

That is the equation of line is y = (-2/3)x + 5

Learn more about slope-intercept form here: https://brainly.com/question/12014894

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