Question

At what point does the graph of the linear equation x +y =5 meet a line which is parallel to Y axis at a distance of 2 units from the origin and in the negative direction of X axis?

Answer 1

Thus, the x-intercept is 5 and the y-intercept is 5. Now, any line parallel to the y axis is in the form x=k. Since, this line is at a distance of 2 units from the origin hence and in the positive x-axis. Hence, the equation of the line is x=2