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Sagot :
We know that the line passes through the points (10,130) and (20,200).
First, we have to find the slope with the following formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Where,
[tex]\begin{gathered} x_1=10 \\ ^{}x_2=15^{} \\ y_1=80 \\ y_2=95 \end{gathered}[/tex]Replacing these coordinates, we have
[tex]m=\frac{95-80}{15-10}=\frac{15}{5}=3[/tex]The slope is 7.
Now, we use one point, the slope, and the point-slope formula to find the equation
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-80=3(x-10) \end{gathered}[/tex]Therefore, the point-slope form of the line is
[tex]y-80=3(x-10)[/tex]
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