At what value of K does the straight line y = KX-3 pass through the point A (-2; 9?)

At what value of k does the straight line y = kx – 3 pass through point A (-2; 9)?

Consider the coordinates of point A: x = -2; y = 9;

Substituting the values of x and y into the equation y = kx – 3, we get:

9 = -2k – 3;

We transfer the known terms to the right side of the equation, and the unknowns to the left, we get:

2k = -9 – 3;

let’s solve this equation:

2k = -12;

k = -6

Thus, for k = -6, the straight line y = kx – 3 passes through the point A (-2; 9).

Answer: k = -6.