Question

What is the point of intersection of the lines with equations x = 7 and y = –9?

Answer 1

Hint: First of all draw the graph of the two lines by considering that the graph of the line y = constant will be parallel to the x – axis and the graph of the line x = constant will be parallel to the y – axis. Observe the intersection points of the two lines on the graph to get the coordinates of the intersection point.

Complete step-by-step solution:
Here we have been provided with the equation of two lines given as x = 7 and y = –9, we are asked to find the coordinates of the point of intersection of the two lines.
Now, let us use the graphical method to find the point of intersection of the two lines. We know that the graph of the equation y = constant is a line parallel to the x – axis and the graph of the equation y = constant is a line parallel to the y – axis, so the graphs of x = 7 and y = –9 will be shown as below.

From the above graph it is clear that the two lines are intersecting each other at the point P whose coordinates are (7, –9). Hence, the point of intersection of the two lines is P (7, –9).

Note: Note that the general equation of a line is ax + by = c. If we fix the value of one of the variables equal to 0 then the equation becomes either x = constant (if y = 0) or y = constant (if x = 0). The slope of the line x = constant is 0 and that of the line y = constant is infinity. You can determine the angle subtended by these lines by taking the inverse tangent values of their respective slopes.