To prove that (0 , 25 ) is on y = x+25.

To say that a point (x1 , y1) is on a line y = mx+25, we we have to simply substitite the coordinates (x1 , Y1) in place of (x,y) in y = mx+c.

Therefore , we do similarly:

y = 1*x+25 ,

25 = 1*0+25

25 = 25.

So the point (0 ,25) lies on y = x+25.

According to the rule, a line is passing through a given point if the coordinates of the point are verifying the equation of the line.

If the point (0,25) is on the line y = x+25, then it's coordinates verify the equation of the line.

We'll substitute the coordinates of the point, into the equation of the line, so x will be substituted by the value of 0 and instead of y, we'll put 25.

25 = 0 + 25

25 = 25 true

**Because the coordinates of the point are verifying the equation of the line, the point (0,25) belongs to the line y = x + 25.**

**In fact, the line y =x + 25 is intercepting y axis in the point (0,25).**