# The graph of the function is parallel to the line y = 3x-7 and passes through the point A (2; 1)

September 23, 2021 | education

| **The graph of the function is parallel to the line y = 3x-7 and passes through the point A (2; 1) Define this function by the formula.**

The graph is parallel to a straight line, which means that it itself is a straight line, and, therefore, has the form:

y = k * x + b.

So the graph of the function is parallel to another straight line, their slopes are equal:

k1 = k2 = 3.

The coordinates of the point through which the straight line passes are known. Substitute the coordinate values into the function formula and find b:

1 = 2 * 3 + b;

b = 1-6;

b = -5;

We found the values of the numerical coefficients, which means we set the equation of the straight line:

y = 3 * x – 5.