Question

A line passes though the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x2-x1 in the formula m=

Answer 1

It has no slope because (x2-x1) in the formula
`m=(y2-y1)/(x2-x1)` is equal to zero, and the denominator of a fraction cannot be zero

Explanation:

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

the points (7, 10) and (7, 20)

substitute the values

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

`m=(10)/(0)` ----> is undefined

The line has a slope undefined ---> is a vertical line (parallel to the y-axis)