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

Sagot :

The slope of a line is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plugging the values of the problem we have:

[tex]3=\frac{19-10}{x-4}[/tex]

Solving for x we have:

[tex]\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}[/tex]

Therefore, x=7.

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