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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