Line y = kx + b passes through point D (-8; 6k). Write down the equation of this line

Line y = kx + b passes through point D (-8; 6k). Write down the equation of this line if it is known that the number k is more than the number b by 14.

We have a straight line y = k * x + b and a point D (-8; 6k), which belongs to the graph of the function.

Substitute the values of the coordinates of the point in the straight line formula and get:

6 * k = – 8 * k + b;

14 * k = b;

By the condition of the problem, it is known that the number k is more than the number b by 14:

k = b + 14.

Substitute this expression for the number k:

14 * (b + 14) = b;

13 * b = -196;

b = -196/13;

k = b + 14 = -196/13 + 182/13 = -14/13;

y = -14/13 * x – 196/13 is the equation of our line.