A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because in the formula it is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because in the formula it is zero, and the denominator of a fraction cannot be zero.
It has no slope because in the formula is zero, and the numerator of a fraction cannot be zero.
It has no slope because in the formula is zero, and the denominator of a fraction cannot be zero.

Solution:

Given, a line passes through the points (7, 10) and (7, 20)

Equation of a line passing through two points can be found by

\(\frac{y_{2}-y_{_{1}}}{x_{2}-x_{1}}=m\)

Here, (x₁, y₁) = (7,10) and (x₂, y₂) = (7,20)

m = (20 - 10) / (7 - 7)

m = 10 / 0

m = 0

Therefore, it has no slope because in the formula the denominator of a fraction cannot be zero.

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?

Summary:

A line passes through the points (7,10) and (7,20) has no slope because in the formula the denominator of a fraction cannot be zero.