Without performing construction, find the coordinates of the points of intersection of the graph

Without performing construction, find the coordinates of the points of intersection of the graph of the functions y = -0.8x +4 with the coordinate axes.

The abscissa axis (oh) has the formula y = 0, and the ordinate axis (oy) has the formula x = 0.

1) To find the point of intersection with the abscissa axis, substitute y = – 0.8x + 4 instead of y the value y = 0;

– 0.8x + 4 = 0;

– 0.8x = – 4;

x = – 4: (- 0.8);

x = 40: 4;

x = 10.

The point of intersection with the oh axis (10; 0).

2) To find the point of intersection with the ordinate axis, substitute the value x = 0 into the equation y = – 0.8x + 4 instead of x;

y = – 0.8 * 0 + 4 = 4.

The point of intersection with the oe (0; 4) axis.

Answer. (100); (0; 4).