# Without constructing, find the coordinates of the points of intersection of the graph of the function y = 4x-8

Without constructing, find the coordinates of the points of intersection of the graph of the function y = 4x-8 with the coordinate axes.

1) The point of intersection of the graph y = 4x – 8 with the Ox axis has an ordinate (coordinate y) equal to 0. Substituting this value into the function formula and solving the resulting equation, we find out the x coordinate of the point of intersection of the graph with the Ox axis.

4x – 8 = 0;

4x = 8;

x = 8/4;

x = 2.

Answer: the coordinate of the intersection of the function y = 4x – 8 with the Ox axis: (2; 0).

2) The point of intersection of the graph y = 4x – 8 with the axis Oy has an abscissa (coordinate x) equal to 0. Substituting this value into the function formula, we find the coordinate at the point of intersection of the graph with the axis Oy.

y = 4 * 0 – 8 = 0 – 8 = -8.

Answer: the coordinate of the intersection of the function y = 4x – 8 with the Oy axis: (0; -8).

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