Answer :
0x + y = 1 is the standard form of (3, 1) with m = 0
Solution:
We have been given a point and slope of an equation and have been asked to write it in the standard form.
The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.
The given point is (3,1) and the slope is 0
To write in standard form we will first write it in point slope form and then rearrange it into a standard from.
The point slope form of line is given as:
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
Where "m" is the slope of the line
Here in this problem, [tex]m = 0 , x_1 = 3 and y_1 = 1[/tex]
y - 1 = 0(x - 3)
y - 1 = 0
y = 1
since the above equation doesn’t have an ‘x’ term we convert into a standard form as follows:
0x + y = 1
This is the standard form for the given point and slope of a line.