Question

The pair of points lies on the same line with the given slope find x (4,10) , (x,19) slope =3

Answer 1

The slope of a line is given by:

`m=(y_2-y_1)/(x_2-x_1)`

Plugging the values of the problem we have:

`3=(19-10)/(x-4)`

Solving for x we have:

`\begin{gathered} 3=(19-10)/(x-4) \\ 3=(9)/(x-4) \\ 3(x-4)=9 \\ x-4=(9)/(3) \\ x-4=3 \\ x=3+4 \\ x=7 \end{gathered}`

Therefore, x=7.