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.
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