Respuesta :

imlittlestar

Answer:

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

kudzordzifrancis
ANSWER

[tex]y = 5x + 3[/tex]

EXPLANATION

If particle moves from coordinates (0, 3) to coordinates (1, 8) and it traces a linear path, then its equation can be obtained using the formula;

[tex]y=mx + c[/tex]

We calculate the slope of this line using

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

[tex]m = \frac{8 - 3}{1 - 0} = 5[/tex]

The point (0,3) is the y-intercept of the line, hence c=3.

The equation of the line is therefore;

[tex]y = 5x + 3[/tex]

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