In which coordinate quarter the graphs of the linear functions intersect y = 0.3x and y = -6x + 3

To answer the question, you need to find the coordinates of the intersection point of the graphs of functions.

Let the intersection point A have coordinates (x; y). Let us denote the first function y1 (x) = 0.3x, the second y2 (x) = -6x + 3.

Finding the point of intersection is reduced to solving the equation y1 = y2.

0.3x = -6x + 3

x = 10/21

To find the y coordinate, we substitute the resulting x value into one of the functions.

y1 (10/21) = 1/7

y = 1/7

x> 0, y> 0

Thus, the intersection point of two graphs of functions, which has coordinates (10/21; 1/7), refers to the first quarter.

Answer: in the first quarter