Question

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

Answer 1

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:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using the points, the slope will be:

$m=\frac{-7-6}{3-3}=\frac{-13}{0}$

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:

$x=3$