Find the coordinates on the graph of their intersection y = 3x y = 2x-2 y = -2

| August 16, 2021 | education

Graphs of these straight lines and the found points of their intersection A, B and C
A denotes the point of intersection of the lines y = 3 * x and y = –2. The ordinate of point A is known y = –2. Let’s find the abscissa of point A. We have 3 * x = –2, whence x = –⅔. Hence, A (–⅔; –2).
Through B denotes the point of intersection of the lines y = 2 * x – 2 and y = –2. The ordinate of point B is also known y = –2. Let us find the abscissa of point B. We have 2 * x – 2 = –2 or 2 * x = 0, whence x = 0. Hence, B (0; –2).
To find the coordinates of the point (which is denoted by C) of the intersection of the lines y = 3 * x and y = 2 * x – 2, we solve them together as a system. Equating the right-hand sides of the equations, we find the abscissa of point C. We have 3 * x = 2 * x – 2 or 3 * x – 2 * x = –2, that is, x = –2. Therefore, y = 3 * (–2) = –6. Hence, C (–2; –6).



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