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

July 28, 2021 | education

| **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).

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