Specify a linear function by the formula if it is known that its graph passes through the point M (-2; 3)

Specify a linear function by the formula if it is known that its graph passes through the point M (-2; 3) and does not intersect the graph of the function y = 4x + 7

Any linear function has the form: y = kx + b.
To find it, you need to determine k and b.
If the required function does not intersect the graph of the function y = 4x + 7, then it is parallel to it.
Linear functions are parallel if and only if their slopes are equal, that is: k1 = k2.
k = 4,
y = 4x + b.
If the graph of the function passes through the point M (-2; 3), then its coordinates must satisfy this equality:
3 = 4 * (- 2) + b,
3 = -8 + b,
b = 8 + 3,
b = 11.
Hence, the equation of the required linear function y = 4x + 11.
Answer: y = 4x + b.