Answer:
To find the value of \( t \), you can set up two equations for the x-coordinate and y-coordinate of point M based on the given formula:
\[ M = (1 - t) \cdot A + t \cdot B \]
Let's set up the equations for the x and y coordinates:
For the x-coordinate:
\[ (1 - t) \cdot (-10) + t \cdot 7.5 = 4 \]
For the y-coordinate:
\[ (1 - t) \cdot 8 + t \cdot 3 = 4 \]
Now, solve these two equations to find the value of \( t \). The solution will give you the parameter \( t \) for point M.
\[ -10 + 17.5t = 4 \]
\[ 8 - 5t = 4 \]
Solving these equations will give you the value of \( t \).
