The line rises from left to right It passes through the orig

The line rises from left to right. It passes through the origin and a second point with equal x- and y-coordinates.

Solution

Let the equation of the required line be y = mx + c, where m is the slope and c is the y-intercept. Since the line passes through ( 0 , 0) , we have 0 = 0 + c . Thus c = 0. Then the equation of the required line changes to y = mx. Now, since the line passes through a second point with equal x- and y- coordinates, we have y = x. Therefore, m =1 . Thus, the equation of the required line is y = x. This line rises from left to right and passes through the origin and a second point with equal x- and y-coordinates.