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 $x=1$ .

Step-by-step 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 :

⇒ $Slope = \frac{y_2-y_1}{x_2-x_1}$

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

⇒ $Slope = \frac{y_2-y_1}{x_2-x_1}$

⇒ $Slope = \frac{7-(-1)}{x-1}$

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 $x=1$ .