Find a linear function whose graph passes through point A (2; 0) and is parallel to the straight line = -4x + 17.

Let us recall the property of graphs of linear functions. Graphs of linear functions given by equations of the form y = kx + m are parallel if the slopes k are equal.

So, the equation of the function, the graph of which will be parallel to y = – 4x + 17:

y = – 4x + m.

We also know that the graph passes through point A with coordinates (2; 0). We substitute their value into the equation and solve the equation linearly with respect to the variable m:

0 = – 4 * 2 + m.

Let’s solve the equation:

m – 8 = 0,

m = 8.

Substitute the resulting value into the equation of the function:

y = – 4x + 8.

Answer: y = – 4x + 8.