# 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.

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