Define a linear function by the formula, the graph of which passes through the point M (-3; 2)

Define a linear function by the formula, the graph of which passes through the point M (-3; 2) parallel to the graph of the function y = 2x + 1.

In general, the equation of a linear function looks like this: y = kx + b. Since the graph of the required function is parallel to the straight line y = 2x + 1, k = 2. Substitute the coordinates of the point M into the equation of the straight line and calculate b:

2 * (-3) + b = 2;

b = 2 + 6 = 8.

Answer: the required equation has the form y = 2x + 8.



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