Find the coordinates of the intersection point of the graphs of the functions y = -0.1x + 0.5 and y = 0.3x + 0.1.

Let us equate the right-hand sides of the equations y = – 0.1x + 0.5 and y = 0.3x + 0.1 and find the x coordinate (it is called the abscissa) of the point of intersection of the graphs.

– 0.1x + 0.5 = 0.3x + 0.1;

– 0.1x – 0.3x = 0.1 – 0.5;

– 0.4x = – 0.4;

x = – 0.4: (- 0.4);

x = 1 – substitute it into any of the equations and find the y coordinate (ordinate) of the point of intersection of the graphs, we substitute it into the second equation;

y = 0.3x + 0.1 = 0.3 * 1 + 0.1 = 0.3 + 0.1 = 0.4.

Answer. (1; 0.4).