Question

Find x so that the two points are on the line with the given slope (1,-1) and (x,7): undefined

Answer 1

Value of x for which the two points are on the line with the given slope (1,-1) and (x,7): undefined is
`x=1` .

Explanation:

Here we have to Find x so that the two points are on the line with the given slope (1,-1) and (x,7): undefined . Let's find out:

We know that for any two points given as
`P(x_1,y_1),Q(x_2,Y_2)` slope of line is determined by :

⇒
`Slope = (y_2-y_1)/(x_2-x_1)`

According to question we have two points as
`P(1,-1),Q(x,7)` ∴

⇒
`Slope = (y_2-y_1)/(x_2-x_1)`

⇒
`Slope = (7-(-1))/(x-1)`

But slope is undefined which is only possible when denominator is zero i.e.

⇒
`x-1=0`

⇒
`x=1`

Therefore , Value of x for which the two points are on the line with the given slope (1,-1) and (x,7): undefined is
`x=1` .