# Find the intersection points of the graph of the function with the coordinate axes: y = 5x + 2 / 3x-1.

August 30, 2021 | education

| 1. First, find the points of intersection of the graph of the function with the x-axis. In this case, y = 0, we get:

5x + 2 / 3x – 1 = 0.

5x + 2 = 0 * (3x – 1).

5x + 2 = 0.

5x = 0 – 2.

5x = -2.

x = -2/5.

x = -0.4.

The point of intersection of the graph of the function with the x-axis is the point with coordinates (0,4; 0).

2. Now we find the point of intersection of the graph of the function with the y-axis. In this case, x = 0, we get:

(5 * 0 + 2) / (3 * 0 – 1) = y.

(0 + 2) / (0 – 1) = y.

2 / (-1) = y.

-2 = y.

The point of intersection of the graph of the function with the y-axis is the point with coordinates (0; -2).

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