Find the coordinates of the intersection point of the graphs of the function y = -3x + 5 and y = 7x-8.

1) Find the abscissa of the point of intersection of the graphs of the functions y = – 3x + 5 and y = 7x – 8. To do this, we need to equate the right sides of the equations and solve the newly obtained equation.

– 3x + 5 = 7x – 8;

– 3x – 7x = – 8 – 5;

– 10x = – 13;

x = – 13: (- 10);

x = 1.3.

2) Find the ordinate of the intersection point of the graphs of functions by substituting the found value of the variable x into the equation y = – 3x + 5 (you can also substitute into the equation y = 7x – 8).

y = – 3 * 1.3 + 5 = – 3.9 + 5 = 1.1

The intersection point of the graphs of functions has coordinates (1,3; 1,1).

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