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

ANSWER



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;



We calculate the slope of this line using





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

The equation of the line is therefore;

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5.

Step-by-step explanation:

Correct is 3/4 / 1/5

= 3/4 * 5

= 15/4 gallons per minute.