Calculate the coordinates of the points of intersection of the straight line 3x-2y = 6 with the coordinate axes.

univerkov | August 3, 2021 | education

We have a straight line, the equation of which is 3x-2y = 6.

It is known that at the intersection with the X-axis, the coordinate y = 0.

Then 3x – (2 × 0) = 6.
3x = 6.
x = 6/3.
x = 2.

At the intersection with the Y-axis, the x-coordinate = 0.

Then (3 × 0) – 2y = 6.
-2y = 6.
y = 6 / (-2).
y = -3.

Answer: The coordinates of the first point (2; 0), the coordinates of the second point (0; -3).

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