Find the point of intersection of the graph of the function y = -2x + 7 with the coordinate axes.

In order to find the coordinates of the points of intersection of the graph of the function, which is given by the equation y = -2x + 7 with the coordinate axes, we will solve two linear equations.

1) And we will start by finding the point of intersection of the chart with the OX axis; y = 0;

-2x + 7 = 0;

Move 7 from the left to the right side of the equation.

-2x = -7;

Divide both sides of the equation by -2 and get:

x = -7: (-2);

x = 3.5;

Point with coordinates (3,5; 0).

2) Find the point of intersection of the chart with the OY axis; x = 0;

y (0) = -2 * 0 + 7;

y = 7.

Point with coordinates (0; 7).