Prove that the point (0;25) is on the line y=x+25.

Expert Answers
hala718 eNotes educator| Certified Educator

y= x+ 25

if the point (0, 25 ) is on the line, then the point should verify the equation .

Let us substitute

y = x + 25

25 = 0 + 25

25 = 25

The point verifies the equation of the line:

Then, (0, 25) is on the line y= x+ 25

neela | Student

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.

giorgiana1976 | Student

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).