392,061 views
2 votes
2 votes
write the standard form of thr equation of the line through the pair of points (3,6) and (3,-7) simplify your answer

User Pshx
by
2.5k points

1 Answer

8 votes
8 votes

The standard form of the equation of a line is given in the form:


Ax+By=C

where A, B, and C are constant integers.

We can write the equation in the point-slope form first, before getting the standard form of the equation:


y-y_1=m(x-x_1)

where m is the slope, calculated using the formula:


m=(y_2-y_1)/(x_2-x_1)

Using the points, the slope will be:


m=(-7-6)/(3-3)=(-13)/(0)

The answer is undefined. Therefore, the line is a vertical line.

Given it is a vertical line, the equation will be in the form:


x=C

At the point (3, 6), we have that:


3=C

Therefore, the equation of the line will be:


x=3

User Shahrzad
by
2.9k points