Aparticle moves from coordinates (0, 3) to coordinates (1, 8). assuming that the path of the particle is linear, what is the equation of the path?

The equation of the path

y = 5x + 3

Step-by-step explanation:

It is given that, a particle moves from coordinates (0, 3) to coordinates (1, 8).

To find the slope

Slope = (y₂ - y₁)/(x₂ - x₁)

= (8 - 5)/(1 - 0) = 5

To find the equation of line

Let (x₁, y₁) = (0, 3)

(y - y₁)/(x - x₁) = 5

(y - 3)/(x - 0) = 5

(y - 3)/x = 5

y - 3 = 5x

y = 5x + 3

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step-by-step explanation: yes