## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$(0, 0)$ If a line has both x and y-intercepts, the only possible point for the line to cross both the x and y-axes at only one point is the through the origin.
If the x-intercept and the y-intercept of the graph of a linear equation are the same, then the point must be the origin $(0,0)$. There is no possible point for which the x and the y-intercepts are the same point other than the origin. A slanted line (non-vertical and non-horizontal) will always pass through one point on the x-axis and one point on the y-axis except when it crosses through the origin, where it will pass through that point only.