Respuesta :

First, we find the constant ratio of change

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

Where,

[tex]\begin{gathered} x_1=2 \\ x_2=3 \\ y_1=3 \\ y_2=7 \end{gathered}[/tex][tex]m=\frac{7-3}{3-2}=\frac{4}{1}=4[/tex]

Then, we use the point-slope formula to find the equation

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-3=4(x-2) \\ y=4x-8+3 \\ y=4x-5 \end{gathered}[/tex]

Hence, the equation is y = 4x - 5.