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:

$m=\frac{y_2-y_1}{x_2-x_1}$

Plugging the values of the problem we have:

$3=\frac{19-10}{x-4}$

Solving for x we have:

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

Therefore, x=7.