Find a parametrization of the line through the points A(-3,6) and B(2,9).

Parametrization of the line:

Step-by-step explanation:

Given the points

We already know some of the equation lines:

But, in parametric mode, we separate the x and y coordinates and describe each of them change as a function of time.

Plotting the two points A(-3,6) and B(2,9) on a coordinate plane, we have to separate x and y coordinates and given each of them a separate equation.

We observe that when we get from A(-3, 6) to B(2,9), its x-coordinate changes or moves 5 points.

i.e. if we add 5 to -3, it becomes -3+5 = 2

In other words, x-coordinate starts at -3, and moving 5 units in time t, it becomes x = -3+5t

Thus, the x-coordinate becomes:

x = -3 + 5t

We also observe that when we get from A(-3, 6) to B(2,9), its y-coordinate changes or moves 3 points.

i.e. if we add 3 to 6, it becomes 3+6 = 9

In other words, y-coordinate starts at 6, and moving 3 units up in time t, it becomes y = 6 + 3t

Thus, the x-coordinate becomes:

y = 6 + 3t

Thus, parametrization of the line:

goog may have it for you

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled