Question

How do you find the slope given (4, 6) and (4, 0)?

Answer 1

`"slope is undefined"`

Explanation:

`"to calculate the slope use the "color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" 2 coordinate points"`

`"the points are " (x_1,y_1)=(4,6),(x_2,y_2)=(4,0)`

`rArrm=(0-6)/(4-4)=(-6)/0`

`"division by zero is undefined and so the slope is undefined"`

`"this means that the line joining the points is vertical"`