On the graph of the function y = 7x-12, find the point whose abscissa is equal to the ordinate
On the graph of the function y = 7x-12, find the point whose abscissa is equal to the ordinate A (3; 3) B (2; 2) C (-1; -1) D (-2; -2).
To find the ordinate of a point, with a known value of the abscissa of the point, it is necessary to substitute the value of the abscissa into the equation y = 7x – 12 and calculate the value of the ordinate. The abscissa is the x coordinate, the ordinate is the y coordinate.
In the record of the coordinates of a point, the abscissa x is written in the first place, the ordinate y, A (x; y) in the second place.
1) A (3; 3); ordinate y = 3, because it is necessary to find a point with an abscissa x equal to the ordinate of a given point, then x = 3;
y = 7 * 3 – 12 = 21 – 12 = 9;
the point will have coordinates (3; 9).
Answer. (3; 9).
2) B (2; 2) – y = 2; means x = 2;
y = 7 * 2 – 12 = 14 – 12 = 2.
Answer. (2; 2).
3) C (-1; -1) – y = -1; means x = -1;
y = 7 * (-1) – 12 = -7 – 12 = -19.
Answer. (-1; -19).
4) D (-2; -2) – y = -2; means x = -2;
y = 7 * (-2) – 12 = -14 – 12 = -26.
Answer. (-1; -26).