Write down the formula of a linear function, the graph of which passes through point A (3; -2) and is parallel to the graph of the function y = 2x-3
First, let’s write down the general formula for a linear function:
y = k * x + b.
It is known from the condition that the graph of the function we are looking for is parallel to the graph of the function y = 2x -3. This means that they will have the same coefficients at x (k numbers), also called slopes. In this case, our general formula for the linear function takes the form:
y = 2 * x + b.
It remains to find a free term b. To do this, we will use the fact that the graph of the required function passes through the point A (3; -2). This means that if we substitute its coordinates into the finished function formula, we will get the correct equality. Substitute the coordinates into our formula and solve the resulting equation for the variable b:
-2 = 2 * 3 + b
b = -8.
Answer: y = 2 * x – 8.
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