# Define a linear function by the formula, the graph of which is parallel to the straight line y = -5x + 8

July 28, 2021 | education

| **Define a linear function by the formula, the graph of which is parallel to the straight line y = -5x + 8 and passes through the origin.**

Consider the original function:

y = – 5 * x + 8.

It is a linear function with a negative coefficient, decreasing.

To write the formula for a function whose graph is parallel to this line, you can use the formula:

y = k * x + c.

Here k is chosen equal to – 5 (minus 5) from the parallelism condition, and the constant “c” is chosen from the condition of the straight line passing through the origin. We get:

y = – 5 * x + 0;

y = – 5 * x.

This line passes through the point (0; 0), and it is parallel to the original.

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