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

| July 28, 2021 | education

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).



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.