# The function is given by the formula y = 0.3 x + 2. Find the coordinates of the points

**The function is given by the formula y = 0.3 x + 2. Find the coordinates of the points of intersection of the graph of this function with the abscissa and ordinate axes.**

To find the coordinates of the points of intersection with the coordinate axes of the graph of a linear function with a given formula y = 0.3x + 2, we solve two linear equations.

1) To find the points of intersection of the graph of the function y = f (x) with the abscissa, you need to solve the equation f (x) = 0.

So, we substitute instead of y = 0 and solve the linear equation:

0.3x + 2 = 0;

0.3x = – 2;

Divide both sides of the equation by 0.3:

x = – 2 / 0.3 = – 2 * 10/3 = – 20/3 = – 6 2/3.

(- 6 2/3; 0).

2) To find the point of intersection of the graph of a function with the ordinate axis, it is necessary to substitute zero in the function formula for each x, that is, find the value of the function at x = 0: y = f (0).

y = 0.3 * 0 + 2;

y = 2.

(0; 2).

Answer: (- 6 2/3; 0) – with the abscissa; (0; 2) – with the ordinate axis.